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12920927232 = 210315832657
BaseRepresentation
bin11000000100010010…
…11011010000000000
31020100111000010000110
430002021123100000
5202430224132412
65534044151320
7635123032533
oct140211332000
936314003013
1012920927232
115530587964
122607238540
1312abba7695
148a8064a1a
15509532d3c
hex30225b400

12920927232 has 88 divisors (see below), whose sum is σ = 34473707136. Its totient is φ = 4302635008.

The previous prime is 12920927221. The next prime is 12920927249. The reversal of 12920927232 is 23272902921.

It is a congruent number.

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, 4861648 + ... + 4864304.

It is an arithmetic number, because the mean of its divisors is an integer number (391746672).

Almost surely, 212920927232 is an apocalyptic number.

12920927232 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 12920927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236853568).

12920927232 is an abundant number, since it is smaller than the sum of its proper divisors (21552779904).

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

12920927232 is a wasteful number, since it uses less digits than its factorization.

12920927232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 12920927232 in words is "twelve billion, nine hundred twenty million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1583 2657 3072 3166 4749 5314 6332 7971 9498 10628 12664 15942 18996 21256 25328 31884 37992 42512 50656 63768 75984 85024 101312 127536 151968 170048 202624 255072 303936 340096 405248 510144 607872 680192 810496 1020288 1215744 1360384 1620992 2040576 2431488 2720768 4081152 4206031 4862976 8162304 8412062 12618093 16824124 25236186 33648248 50472372 67296496 100944744 134592992 201889488 269185984 403778976 538371968 807557952 1076743936 1615115904 2153487872 3230231808 4306975744 6460463616 12920927232