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130645809691488 = 25327213254779771
BaseRepresentation
bin11101101101001001011001…
…000100111111101101100000
3122010120121200002212210020100
4131231021121010333231200
5114111000104240111423
61141505504552542400
736342563645414400
oct3555113104775540
9563517602783210
10130645809691488
113869a638706a93
12127a00493b1a00
1357b8b01abaa00
142439410440800
1510185e5e93343
hex76d25913fb60

130645809691488 has 324 divisors, whose sum is σ = 467982989618508. Its totient is φ = 34456037091840.

The previous prime is 130645809691483. The next prime is 130645809691559. The reversal of 130645809691488 is 884196908546031.

130645809691488 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 5 + 80 + 9 + 69 + 1 + 488 = 666.

It is a super-3 number, since 3×1306458096914883 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130645809691483) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25004958 + ... + 29774813.

It is an arithmetic number, because the mean of its divisors is an integer number (1444391943267).

Almost surely, 2130645809691488 is an apocalyptic number.

130645809691488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130645809691488 is an abundant number, since it is smaller than the sum of its proper divisors (337337179927020).

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

130645809691488 is a wasteful number, since it uses less digits than its factorization.

130645809691488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54779827 (or 54779796 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 130645809691488 in words is "one hundred thirty trillion, six hundred forty-five billion, eight hundred nine million, six hundred ninety-one thousand, four hundred eighty-eight".