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131584768557 = 3116126165089
BaseRepresentation
bin111101010001100010…
…0000011101000101101
3110120122100221211101120
41322203010003220231
54123441200043212
6140241010131153
712335536035564
oct1724304035055
9416570854346
10131584768557
1150894198210
1221603580ab9
13c5403067c8
146523b56bdb
15365205488c
hex1ea3103a2d

131584768557 has 16 divisors (see below), whose sum is σ = 191402091840. Its totient is φ = 79745817600.

The previous prime is 131584768537. The next prime is 131584768561. The reversal of 131584768557 is 755867485131.

It is not a de Polignac number, because 131584768557 - 27 = 131584768429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131584768557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131584768537) 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 15 ways as a sum of consecutive naturals, for example, 1989069 + ... + 2054157.

It is an arithmetic number, because the mean of its divisors is an integer number (11962630740).

Almost surely, 2131584768557 is an apocalyptic number.

It is an amenable number.

131584768557 is a deficient number, since it is larger than the sum of its proper divisors (59817323283).

131584768557 is a wasteful number, since it uses less digits than its factorization.

131584768557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126364.

The product of its digits is 28224000, while the sum is 60.

The spelling of 131584768557 in words is "one hundred thirty-one billion, five hundred eighty-four million, seven hundred sixty-eight thousand, five hundred fifty-seven".

Divisors: 1 3 11 33 61261 65089 183783 195267 673871 715979 2021613 2147937 3987417229 11962251687 43861589519 131584768557