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12504707232 = 2532272412381
BaseRepresentation
bin10111010010101011…
…01011000010100000
31012021110210221111220
423221111223002200
5201102201112412
65424455135040
7621610154253
oct135125530240
935243727456
1012504707232
115337643696
12250b974480
1312438a7364
14868a7b09a
154d2c1868c
hex2e956b0a0

12504707232 has 96 divisors (see below), whose sum is σ = 33120166464. Its totient is φ = 4130918400.

The previous prime is 12504707231. The next prime is 12504707233. The reversal of 12504707232 is 23270740521.

It is an interprime number because it is at equal distance from previous prime (12504707231) and next prime (12504707233).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12504707193 and 12504707202.

It is not an unprimeable number, because it can be changed into a prime (12504707231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250682 + ... + 5253062.

It is an arithmetic number, because the mean of its divisors is an integer number (345001734).

Almost surely, 212504707232 is an apocalyptic number.

12504707232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12504707232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560083232).

12504707232 is an abundant number, since it is smaller than the sum of its proper divisors (20615459232).

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

12504707232 is a wasteful number, since it uses less digits than its factorization.

12504707232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 12504707232 in words is "twelve billion, five hundred four million, seven hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 241 454 482 681 723 908 964 1362 1446 1816 1928 2381 2724 2892 3632 3856 4762 5448 5784 7143 7264 7712 9524 10896 11568 14286 19048 21792 23136 28572 38096 54707 57144 76192 109414 114288 164121 218828 228576 328242 437656 540487 573821 656484 875312 1080974 1147642 1312968 1621461 1721463 1750624 2161948 2295284 2625936 3242922 3442926 4323896 4590568 5251872 6485844 6885852 8647792 9181136 12971688 13771704 17295584 18362272 25943376 27543408 51886752 55086816 130257367 260514734 390772101 521029468 781544202 1042058936 1563088404 2084117872 3126176808 4168235744 6252353616 12504707232