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1313536671144 = 2332374112026081
BaseRepresentation
bin10011000111010100111…
…000101111110110101000
311122120110121222121002200
4103013110320233312220
5133010110341434034
62443232545300200
7163620443325045
oct23072470576650
94576417877080
101313536671144
11467082230615
121926a4934660
1396b34720819
144780b2d41cc
152427c535a99
hex131d4e2fda8

1313536671144 has 96 divisors (see below), whose sum is σ = 3742757240040. Its totient is φ = 415621324800.

The previous prime is 1313536671113. The next prime is 1313536671157. The reversal of 1313536671144 is 4411766353131.

1313536671144 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 536 + 6 + 71 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1157797520100 + 155739151044 = 1076010^2 + 394638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1313536671144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5903817 + ... + 6122264.

Almost surely, 21313536671144 is an apocalyptic number.

It is an amenable number.

1313536671144 is an abundant number, since it is smaller than the sum of its proper divisors (2429220568896).

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

1313536671144 is a wasteful number, since it uses less digits than its factorization.

1313536671144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026171 (or 12026164 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 1313536671144 in words is "one trillion, three hundred thirteen billion, five hundred thirty-six million, six hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 328 333 369 444 492 666 738 888 984 1332 1476 1517 2664 2952 3034 4551 6068 9102 12136 13653 18204 27306 36408 54612 109224 12026081 24052162 36078243 48104324 72156486 96208648 108234729 144312972 216469458 288625944 432938916 444964997 493069321 865877832 889929994 986138642 1334894991 1479207963 1779859988 1972277284 2669789982 2958415926 3559719976 3944554568 4004684973 4437623889 5339579964 5916831852 8009369946 8875247778 10679159928 11833663704 16018739892 17750495556 18243564877 32037479784 35500991112 36487129754 54730694631 72974259508 109461389262 145948519016 164192083893 218922778524 328384167786 437845557048 656768335572 1313536671144