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12337720032 = 2531111683447
BaseRepresentation
bin10110111110110001…
…01010101011100000
31011211211121010010210
423133120222223200
5200231424020112
65400132054120
7614511614151
oct133730525340
934754533123
1012337720032
115261359740
122483a64340
13121810b471
1485080d928
154c3230b3c
hex2df62aae0

12337720032 has 48 divisors (see below), whose sum is σ = 35330746752. Its totient is φ = 3738702720.

The previous prime is 12337720001. The next prime is 12337720049. The reversal of 12337720032 is 23002773321.

It is a tau number, because it is divible by the number of its divisors (48).

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, 5840668 + ... + 5842779.

It is an arithmetic number, because the mean of its divisors is an integer number (736057224).

Almost surely, 212337720032 is an apocalyptic number.

12337720032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12337720032 is an abundant number, since it is smaller than the sum of its proper divisors (22993026720).

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

12337720032 is a wasteful number, since it uses less digits than its factorization.

12337720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683471 (or 11683463 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The spelling of 12337720032 in words is "twelve billion, three hundred thirty-seven million, seven hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11683447 23366894 35050341 46733788 70100682 93467576 128517917 140201364 186935152 257035834 280402728 373870304 385553751 514071668 560805456 771107502 1028143336 1121610912 1542215004 2056286672 3084430008 4112573344 6168860016 12337720032