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11450841248 = 2571110345119
BaseRepresentation
bin10101010101000010…
…11111100010100000
31002120000210000011102
422222201133202200
5141422403404443
65132131133532
7553522354550
oct125241374240
932500700142
1011450841248
114946779570
122276a442a8
13110645a212
147a8b0b160
15470446cb8
hex2aa85f8a0

11450841248 has 96 divisors (see below), whose sum is σ = 28380119040. Its totient is φ = 4417954560.

The previous prime is 11450841223. The next prime is 11450841263. The reversal of 11450841248 is 84214805411.

It is a happy number.

It is a super-2 number, since 2×114508412482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231233 + ... + 276351.

It is an arithmetic number, because the mean of its divisors is an integer number (295626240).

Almost surely, 211450841248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11450841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190059520).

11450841248 is an abundant number, since it is smaller than the sum of its proper divisors (16929277792).

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

11450841248 is a wasteful number, since it uses less digits than its factorization.

11450841248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45250 (or 45242 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The spelling of 11450841248 in words is "eleven billion, four hundred fifty million, eight hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 103 112 154 176 206 224 308 352 412 616 721 824 1133 1232 1442 1648 2266 2464 2884 3296 4532 5768 7931 9064 11536 15862 18128 23072 31724 36256 45119 63448 90238 126896 180476 253792 315833 360952 496309 631666 721904 992618 1263332 1443808 1985236 2526664 3474163 3970472 4647257 5053328 6948326 7940944 9294514 10106656 13896652 15881888 18589028 27793304 32530799 37178056 51119827 55586608 65061598 74356112 102239654 111173216 130123196 148712224 204479308 260246392 357838789 408958616 520492784 715677578 817917232 1040985568 1431355156 1635834464 2862710312 5725420624 11450841248