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131584768428 = 22347233306327
BaseRepresentation
bin111101010001100010…
…0000011100110101100
3110120122100221211012210
41322203010003212230
54123441200042203
6140241010130420
712335536035321
oct1724304034654
9416570854183
10131584768428
1150894198103
1221603580a10
13c540306729
146523b56b48
153652054803
hex1ea31039ac

131584768428 has 24 divisors (see below), whose sum is σ = 313563704832. Its totient is φ = 42928363984.

The previous prime is 131584768417. The next prime is 131584768429. The reversal of 131584768428 is 824867485131.

It is not an unprimeable number, because it can be changed into a prime (131584768429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116652600 + ... + 116653727.

It is an arithmetic number, because the mean of its divisors is an integer number (13065154368).

Almost surely, 2131584768428 is an apocalyptic number.

It is an amenable number.

131584768428 is an abundant number, since it is smaller than the sum of its proper divisors (181978936404).

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

131584768428 is a wasteful number, since it uses less digits than its factorization.

131584768428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233306381 (or 233306379 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 131584768428 in words is "one hundred thirty-one billion, five hundred eighty-four million, seven hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 233306327 466612654 699918981 933225308 1399837962 2799675924 10965397369 21930794738 32896192107 43861589476 65792384214 131584768428