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130255775136 = 2533613796521
BaseRepresentation
bin111100101001111011…
…0010110010110100000
3110110012202012222011000
41321103312112112200
54113230434301021
6135501053152000
712260600551314
oct1712366262640
9413182188130
10130255775136
1150271a97843
12212b248b600
13c38ab89a76
146439449b44
1535c5538b26
hex1e53d965a0

130255775136 has 192 divisors, whose sum is σ = 387218966400. Its totient is φ = 42587596800.

The previous prime is 130255775081. The next prime is 130255775189. The reversal of 130255775136 is 631577552031.

130255775136 is a `hidden beast` number, since 1 + 3 + 0 + 25 + 577 + 51 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130255775091 and 130255775100.

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 31 ways as a sum of consecutive naturals, for example, 19971556 + ... + 19978076.

It is an arithmetic number, because the mean of its divisors is an integer number (2016765450).

Almost surely, 2130255775136 is an apocalyptic number.

130255775136 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 130255775136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193609483200).

130255775136 is an abundant number, since it is smaller than the sum of its proper divisors (256963191264).

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

130255775136 is a wasteful number, since it uses less digits than its factorization.

130255775136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 130255775136 in words is "one hundred thirty billion, two hundred fifty-five million, seven hundred seventy-five thousand, one hundred thirty-six".