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12972060608 = 26131931103257
BaseRepresentation
bin11000001010011000…
…11110111111000000
31020111001012221211012
430011030132333000
5203031321414413
65543112140052
7636313460453
oct140514367700
936431187735
1012972060608
115557432151
122620397628
1312b966b910
148b0b7549a
1550dc837a8
hex30531efc0

12972060608 has 224 divisors, whose sum is σ = 30532669440. Its totient is φ = 5414584320.

The previous prime is 12972060587. The next prime is 12972060617. The reversal of 12972060608 is 80606027921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50474816 + ... + 50475072.

It is an arithmetic number, because the mean of its divisors is an integer number (136306560).

Almost surely, 212972060608 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 12972060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266334720).

12972060608 is an abundant number, since it is smaller than the sum of its proper divisors (17560608832).

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

12972060608 is a wasteful number, since it uses less digits than its factorization.

12972060608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 12972060608 in words is "twelve billion, nine hundred seventy-two million, sixty thousand, six hundred eight".