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130634542586160 = 24335415772556493
BaseRepresentation
bin11101101100111110111001…
…100000011001100100110000
3122010112112120212211112101000
4131230332321200121210300
5114110304020400224120
61141500402543442000
736342014513534664
oct3554767140314460
9563475525745330
10130634542586160
1138695886721a98
1212799a23bb6300
1357b7a27741c92
142438a61cc08a4
151018186c41990
hex76cfb9819930

130634542586160 has 320 divisors, whose sum is σ = 461737175679360. Its totient is φ = 33927307591680.

The previous prime is 130634542586117. The next prime is 130634542586213. The reversal of 130634542586160 is 61685245436031.

130634542586160 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 4 + 5 + 42 + 586 + 16 + 0 = 666.

130634542586160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130634542586097 and 130634542586106.

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, 49820874 + ... + 52377366.

It is an arithmetic number, because the mean of its divisors is an integer number (1442928673998).

Almost surely, 2130634542586160 is an apocalyptic number.

130634542586160 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 130634542586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230868587839680).

130634542586160 is an abundant number, since it is smaller than the sum of its proper divisors (331102633093200).

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

130634542586160 is a wasteful number, since it uses less digits than its factorization.

130634542586160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557133 (or 2557121 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 130634542586160 in words is "one hundred thirty trillion, six hundred thirty-four billion, five hundred forty-two million, five hundred eighty-six thousand, one hundred sixty".