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130355483902560 = 253457193111321589
BaseRepresentation
bin11101101000111011000000…
…010100000000001001100000
3122002112212021210200121020000
4131220323000110000021200
5114041221012334340220
61141124252123420000
736312605261055030
oct3550730024001140
9562485253617200
10130355483902560
11385984a5336754
1212753923984600
13579761431c467
14242934c0978c0
151010ca2c8c390
hex768ec0500260

130355483902560 has 1920 divisors, whose sum is σ = 576374322585600. Its totient is φ = 27073797488640.

The previous prime is 130355483902543. The next prime is 130355483902561. The reversal of 130355483902560 is 65209384553031.

130355483902560 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 5 + 48 + 39 + 0 + 2 + 560 = 666.

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 = 130355483902497 and 130355483902506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130355483902561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6038040246 + ... + 6038061834.

It is an arithmetic number, because the mean of its divisors is an integer number (300194959680).

Almost surely, 2130355483902560 is an apocalyptic number.

130355483902560 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 130355483902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288187161292800).

130355483902560 is an abundant number, since it is smaller than the sum of its proper divisors (446018838683040).

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

130355483902560 is a wasteful number, since it uses less digits than its factorization.

130355483902560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 21769 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 130355483902560 in words is "one hundred thirty trillion, three hundred fifty-five billion, four hundred eighty-three million, nine hundred two thousand, five hundred sixty".