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12337242528 = 253139885611
BaseRepresentation
bin10110111110101101…
…10110000110100000
31011211210200212010110
423133112312012200
5200231313230103
65400113531320
7614504555052
oct133726660640
934753625113
1012337242528
115261062a06
122483873b40
131217ca2010
148507278d2
154c3189403
hex2df5b61a0

12337242528 has 48 divisors (see below), whose sum is σ = 34876439136. Its totient is φ = 3796074240.

The previous prime is 12337242523. The next prime is 12337242529. The reversal of 12337242528 is 82524273321.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12337242523) 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, 4941558 + ... + 4944053.

It is an arithmetic number, because the mean of its divisors is an integer number (726592482).

Almost surely, 212337242528 is an apocalyptic number.

It is an amenable number.

12337242528 is an abundant number, since it is smaller than the sum of its proper divisors (22539196608).

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

12337242528 is a wasteful number, since it uses less digits than its factorization.

12337242528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885637 (or 9885629 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The spelling of 12337242528 in words is "twelve billion, three hundred thirty-seven million, two hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9885611 19771222 29656833 39542444 59313666 79084888 118627332 128512943 158169776 237254664 257025886 316339552 385538829 474509328 514051772 771077658 949018656 1028103544 1542155316 2056207088 3084310632 4112414176 6168621264 12337242528