Search a number
-
+
130406354527176 = 23337313135396529
BaseRepresentation
bin11101101001101010011000…
…011100000010001111001000
3122002201201121001202002022000
4131221222120130002033020
5114043034203224332201
61141203504025431000
736316356014202000
oct3551523034021710
9562651531662260
10130406354527176
113860802a497982
121276176033b460
13579c36056bc80
14242b9b6299000
15101227dca9d86
hex769a987023c8

130406354527176 has 256 divisors, whose sum is σ = 454932340800000. Its totient is φ = 34392884456448.

The previous prime is 130406354527157. The next prime is 130406354527199. The reversal of 130406354527176 is 671725453604031.

130406354527176 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 6 + 3 + 545 + 27 + 1 + 76 = 666.

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

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, 66735121 + ... + 68661408.

It is an arithmetic number, because the mean of its divisors is an integer number (1777079456250).

Almost surely, 2130406354527176 is an apocalyptic number.

It is an amenable number.

130406354527176 is an abundant number, since it is smaller than the sum of its proper divisors (324525986272824).

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

130406354527176 is a wasteful number, since it uses less digits than its factorization.

130406354527176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135396578 (or 135396554 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 130406354527176 in words is "one hundred thirty trillion, four hundred six billion, three hundred fifty-four million, five hundred twenty-seven thousand, one hundred seventy-six".