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130937568960 = 263511891271097
BaseRepresentation
bin111100111110001111…
…1001011111011000000
3110111222021010200110010
41321330133023323000
54121130004201320
6140052450304520
712313516654362
oct1717437137300
9414867120403
10130937568960
1150591931610
1221462888140
13c4691c3373
1464a1c04d32
153615311ae0
hex1e7c7cbec0

130937568960 has 448 divisors, whose sum is σ = 462648360960. Its totient is φ = 31110266880.

The previous prime is 130937568959. The next prime is 130937569001. The reversal of 130937568960 is 69865739031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130937568960.

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, 119359132 + ... + 119360228.

Almost surely, 2130937568960 is an apocalyptic number.

130937568960 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 130937568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231324180480).

130937568960 is an abundant number, since it is smaller than the sum of its proper divisors (331710792000).

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

130937568960 is a wasteful number, since it uses less digits than its factorization.

130937568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 130937568960 in words is "one hundred thirty billion, nine hundred thirty-seven million, five hundred sixty-eight thousand, nine hundred sixty".