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11681257152 = 263193202099
BaseRepresentation
bin10101110000100000…
…11101011011000000
31010011002100100100210
422320100131123000
5142410400212102
65211041514120
7562321022205
oct127020353300
933132310323
1011681257152
114a54846434
122320042940
1311421038a6
147cb569cac
154857ad36c
hex2b841d6c0

11681257152 has 56 divisors (see below), whose sum is σ = 32533336000. Its totient is φ = 3688816896.

The previous prime is 11681257139. The next prime is 11681257177. The reversal of 11681257152 is 25175218611.

It is a super-2 number, since 2×116812571522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11681257152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597402 + ... + 1604697.

Almost surely, 211681257152 is an apocalyptic number.

11681257152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11681257152 is an abundant number, since it is smaller than the sum of its proper divisors (20852078848).

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

11681257152 is a wasteful number, since it uses less digits than its factorization.

11681257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202133 (or 3202123 counting only the distinct ones).

The product of its digits is 33600, while the sum is 39.

The spelling of 11681257152 in words is "eleven billion, six hundred eighty-one million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 3202099 6404198 9606297 12808396 19212594 25616792 38425188 51233584 60839881 76850376 102467168 121679762 153700752 182519643 204934336 243359524 307401504 365039286 486719048 614803008 730078572 973438096 1460157144 1946876192 2920314288 3893752384 5840628576 11681257152