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12937662720 = 2832537127239
BaseRepresentation
bin11000000110010010…
…10001000100000000
31020101122111100210100
430003021101010000
5202444020201340
65535443002400
7635415214203
oct140311210400
936348440710
1012937662720
115539a78544
122610969400
1312b24b6c38
148aa37d93a
1550ac3b830
hex303251100

12937662720 has 432 divisors, whose sum is σ = 46528634880. Its totient is φ = 3316432896.

The previous prime is 12937662659. The next prime is 12937662767. The reversal of 12937662720 is 2726673921.

12937662720 is a `hidden beast` number, since 1 + 2 + 9 + 376 + 6 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54132361 + ... + 54132599.

Almost surely, 212937662720 is an apocalyptic number.

12937662720 is a gapful number since it is divisible by the number (10) 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 12937662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264317440).

12937662720 is an abundant number, since it is smaller than the sum of its proper divisors (33590972160).

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

12937662720 is a wasteful number, since it uses less digits than its factorization.

12937662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12937662720 in words is "twelve billion, nine hundred thirty-seven million, six hundred sixty-two thousand, seven hundred twenty".