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130647058032960 = 2632574123855151
BaseRepresentation
bin11101101101001010100011…
…011111000010100101000000
3122010120201220002212002210200
4131231022203133002211000
5114111010133324023320
61141510232505125200
736342636614222040
oct3555124337024500
9563521802762720
10130647058032960
11386a0119330457
12127a0337489800
1357b8c706096c1
1424394cc155720
15101866a87c290
hex76d2a37c2940

130647058032960 has 504 divisors, whose sum is σ = 526399046654208. Its totient is φ = 29133831168000.

The previous prime is 130647058032913. The next prime is 130647058033027. The reversal of 130647058032960 is 69230850746031.

130647058032960 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 470 + 5 + 80 + 3 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 130647058032897 and 130647058032906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31961385 + ... + 35816535.

It is a 1-persistent number, because it is pandigital, but 2⋅130647058032960 = 261294116065920 is not.

Almost surely, 2130647058032960 is an apocalyptic number.

130647058032960 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 130647058032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263199523327104).

130647058032960 is an abundant number, since it is smaller than the sum of its proper divisors (395751988621248).

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

130647058032960 is a wasteful number, since it uses less digits than its factorization.

130647058032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855263 (or 3855209 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 130647058032960 in words is "one hundred thirty trillion, six hundred forty-seven billion, fifty-eight million, thirty-two thousand, nine hundred sixty".