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11060253884416 = 21611211812
BaseRepresentation
bin1010000011110010101010…
…0000010000000000000000
31110011100110002222011000011
42200330222200100000000
52422202344443300131
635305002133234304
72221035254561662
oct240745240200000
943140402864004
1011060253884416
113584699a83100
1212a7674792994
13622c926539b9
142a3467a36532
15142a8135c0b1
hexa0f2a810000

11060253884416 has 153 divisors (see below), whose sum is σ = 24334696778749. Its totient is φ = 5023131238400.

The previous prime is 11060253884411. The next prime is 11060253884423. The reversal of 11060253884416 is 61448835206011.

The square root of 11060253884416 is 3325696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10143562530816 + 916691353600 = 3184896^2 + 957440^2 .

It is a super-2 number, since 2×110602538844162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11060253884416.

It is not an unprimeable number, because it can be changed into a prime (11060253884411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9365159346 + ... + 9365160526.

Almost surely, 211060253884416 is an apocalyptic number.

11060253884416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11060253884416 is the 3325696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11060253884416

11060253884416 is an abundant number, since it is smaller than the sum of its proper divisors (13274442894333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11060253884416 is an frugal number, since it uses more digits than its factorization.

11060253884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 11060253884416 by its sum of digits (49), we get a square (541952440336384 = 232798722).

The spelling of 11060253884416 in words is "eleven trillion, sixty billion, two hundred fifty-three million, eight hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1181 1408 1936 2048 2362 2816 3872 4096 4724 5632 7744 8192 9448 11264 12991 15488 16384 18896 22528 25982 30976 32768 37792 45056 51964 61952 65536 75584 90112 103928 123904 142901 151168 180224 207856 247808 285802 302336 360448 415712 495616 571604 604672 720896 831424 991232 1143208 1209344 1394761 1662848 1982464 2286416 2418688 2789522 3325696 3964928 4572832 4837376 5579044 6651392 7929856 9145664 9674752 11158088 13302784 15342371 18291328 19349504 22316176 26605568 30684742 36582656 38699008 44632352 53211136 61369484 73165312 77398016 89264704 106422272 122738968 146330624 168766081 178529408 212844544 245477936 292661248 337532162 357058816 425689088 490955872 585322496 675064324 714117632 851378176 981911744 1170644992 1350128648 1428235264 1963823488 2341289984 2700257296 2856470528 3927646976 4682579968 5400514592 5712941056 7855293952 9365159936 10801029184 11425882112 15710587904 21602058368 22851764224 31421175808 43204116736 45703528448 62842351616 86408233472 91407056896 125684703232 172816466944 251369406464 345632933888 502738812928 691265867776 1005477625856 1382531735552 2765063471104 5530126942208 11060253884416