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10990869301504 = 2838325412
BaseRepresentation
bin1001111111110000001011…
…0111000100100100000000
31102220201100120122010200001
42133330002313010210000
52420033300020122004
635213045145005344
72213030662422151
oct237740267044400
942821316563601
1010990869301504
113558224209aa4
12129612ba83854
13619585872391
1429dd64a5b928
15140d6ecb21a4
hex9ff02dc4900

10990869301504 has 81 divisors (see below), whose sum is σ = 22036970188569. Its totient is φ = 5470954859520.

The previous prime is 10990869301487. The next prime is 10990869301519. The reversal of 10990869301504 is 40510396809901.

The square root of 10990869301504 is 3315248.

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., 4366628763904 + 6624240537600 = 2089648^2 + 2573760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20315839474 + ... + 20315840014.

Almost surely, 210990869301504 is an apocalyptic number.

10990869301504 is the 3315248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990869301504

10990869301504 is an abundant number, since it is smaller than the sum of its proper divisors (11046100887065).

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

10990869301504 is an frugal number, since it uses more digits than its factorization.

10990869301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 10990869301504 in words is "ten trillion, nine hundred ninety billion, eight hundred sixty-nine million, three hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 383 541 766 1082 1532 2164 3064 4328 6128 8656 12256 17312 24512 34624 49024 69248 98048 138496 146689 207203 292681 293378 414406 585362 586756 828812 1170724 1173512 1657624 2341448 2347024 3315248 4682896 4694048 6630496 9365792 9388096 13260992 18731584 18776192 26521984 37463168 37552384 53043968 74926336 79358749 112096823 158717498 224193646 317434996 448387292 634869992 896774584 1269739984 1793549168 2539479968 3587098336 5078959936 7174196672 10157919872 14348393344 20315839744 28696786688 42933083209 85866166418 171732332836 343464665672 686929331344 1373858662688 2747717325376 5495434650752 10990869301504