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10457925696 = 263242612
BaseRepresentation
bin10011011110101011…
…10100100001000000
3222222211102200002100
421233111310201000
5132404212110241
64445421350400
7520104621201
oct115725644100
928884380070
1010457925696
1144872543a9
12203a408400
13ca883081a
14712cc55a8
154131b49b6
hex26f574840

10457925696 has 63 divisors (see below), whose sum is σ = 29982792333. Its totient is φ = 3485157120.

The previous prime is 10457925691. The next prime is 10457925697. The reversal of 10457925696 is 69652975401.

The square root of 10457925696 is 102264.

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

10457925696 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 79 + 2 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10107487296 + 350438400 = 100536^2 + 18720^2 .

It is not an unprimeable number, because it can be changed into a prime (10457925691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2452206 + ... + 2456466.

Almost surely, 210457925696 is an apocalyptic number.

10457925696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10457925696 is the 102264-th square number.

It is an amenable number.

10457925696 is an abundant number, since it is smaller than the sum of its proper divisors (19524866637).

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

10457925696 is an frugal number, since it uses more digits than its factorization.

10457925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 10457925696 in words is "ten billion, four hundred fifty-seven million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4261 8522 12783 17044 25566 34088 38349 51132 68176 76698 102264 136352 153396 204528 272704 306792 409056 613584 818112 1227168 2454336 18156121 36312242 54468363 72624484 108936726 145248968 163405089 217873452 290497936 326810178 435746904 580995872 653620356 871493808 1161991744 1307240712 1742987616 2614481424 3485975232 5228962848 10457925696