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12931947960 = 233519291311493
BaseRepresentation
bin11000000101100110…
…11101110110111000
31020101020202000121120
430002303131312320
5202441034313320
65535120305240
7635315513121
oct140263356670
936336660546
1012931947960
1155368249a8
12260aa72220
1312b1265a19
148a96d3048
1550a4ad440
hex302cdddb8

12931947960 has 256 divisors, whose sum is σ = 42596928000. Its totient is φ = 3128186880.

The previous prime is 12931947943. The next prime is 12931947971. The reversal of 12931947960 is 6974913921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8660974 + ... + 8662466.

It is an arithmetic number, because the mean of its divisors is an integer number (166394250).

Almost surely, 212931947960 is an apocalyptic number.

12931947960 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 12931947960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21298464000).

12931947960 is an abundant number, since it is smaller than the sum of its proper divisors (29664980040).

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

12931947960 is a wasteful number, since it uses less digits than its factorization.

12931947960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 12931947960 in words is "twelve billion, nine hundred thirty-one million, nine hundred forty-seven thousand, nine hundred sixty".