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10440636672 = 28343316153
BaseRepresentation
bin10011011100100111…
…10111100100000000
3222221121220022000010
421232103313210000
5132340300333142
64444003024520
7516504642654
oct115623674400
928847808003
1010440636672
114478515954
12203466b140
13ca508932b
147108a4a64
154118ebe9c
hex26e4f7900

10440636672 has 72 divisors (see below), whose sum is σ = 28433626144. Its totient is φ = 3399266304.

The previous prime is 10440636671. The next prime is 10440636677. The reversal of 10440636672 is 27663604401.

It is a happy number.

It is a super-2 number, since 2×104406366722 (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 10440636672.

It is not an unprimeable number, because it can be changed into a prime (10440636671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125053 + ... + 191100.

Almost surely, 210440636672 is an apocalyptic number.

10440636672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10440636672 is an abundant number, since it is smaller than the sum of its proper divisors (17992989472).

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

10440636672 is an equidigital number, since it uses as much as digits as its factorization.

10440636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316215 (or 316201 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10440636672 in words is "ten billion, four hundred forty million, six hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 5504 8256 11008 16512 33024 316153 632306 948459 1264612 1896918 2529224 3793836 5058448 7587672 10116896 13594579 15175344 20233792 27189158 30350688 40467584 40783737 54378316 60701376 80935168 81567474 108756632 121402752 163134948 217513264 242805504 326269896 435026528 652539792 870053056 1305079584 1740106112 2610159168 3480212224 5220318336 10440636672