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12510644916 = 223721189103211
BaseRepresentation
bin10111010011011000…
…10100101010110100
31012021212222121111010
423221230110222310
5201110211114131
65425230312220
7622011504300
oct135154245264
935255877433
1012510644916
11533aa29770
122511958670
131244ba5b93
14869784d00
154d34dcb46
hex2e9b14ab4

12510644916 has 288 divisors, whose sum is σ = 38003696640. Its totient is φ = 3166732800.

The previous prime is 12510644893. The next prime is 12510644917. The reversal of 12510644916 is 61944601521.

12510644916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12510644917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59292051 + ... + 59292261.

It is an arithmetic number, because the mean of its divisors is an integer number (131957280).

Almost surely, 212510644916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510644916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001848320).

12510644916 is an abundant number, since it is smaller than the sum of its proper divisors (25493051724).

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

12510644916 is a wasteful number, since it uses less digits than its factorization.

12510644916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 12510644916 in words is "twelve billion, five hundred ten million, six hundred forty-four thousand, nine hundred sixteen".