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130576953593856 = 21237113743127683
BaseRepresentation
bin11101101100001001010000…
…111011110101000000000000
3122010100000221101222121102010
4131230021100323311000000
5114103333100110000411
61141414120243452520
736334605431301150
oct3554112073650000
9563300841877363
10130576953593856
1138673414195780
121278a831687140
1357b247a655b83
142435d5b714760
151016915edb7a6
hex76c250ef5000

130576953593856 has 1664 divisors, whose sum is σ = 460437295988736. Its totient is φ = 31931396259840.

The previous prime is 130576953593833. The next prime is 130576953593897. The reversal of 130576953593856 is 658395359675031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191181483691 + ... + 191181484373.

Almost surely, 2130576953593856 is an apocalyptic number.

130576953593856 is a gapful number since it is divisible by the number (16) 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 130576953593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230218647994368).

130576953593856 is an abundant number, since it is smaller than the sum of its proper divisors (329860342394880).

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

130576953593856 is a wasteful number, since it uses less digits than its factorization.

130576953593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 2755620000, while the sum is 75.

The spelling of 130576953593856 in words is "one hundred thirty trillion, five hundred seventy-six billion, nine hundred fifty-three million, five hundred ninety-three thousand, eight hundred fifty-six".