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13364492544 = 283213446197
BaseRepresentation
bin11000111001001010…
…11111100100000000
31021111101122120020100
430130211133210000
5204332302230134
610050051242400
7652120212054
oct143445374400
937441576210
1013364492544
1157389a9067
12270b8a9400
13134ca60570
1490ad29c64
1553344e999
hex31c95f900

13364492544 has 108 divisors (see below), whose sum is σ = 41497306396. Its totient is φ = 4112142336.

The previous prime is 13364492527. The next prime is 13364492567. The reversal of 13364492544 is 44529446331.

13364492544 is a `hidden beast` number, since 1 + 3 + 3 + 64 + 49 + 2 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3634642944 + 9729849600 = 60288^2 + 98640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13364492544.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193147 + ... + 253050.

Almost surely, 213364492544 is an apocalyptic number.

It is an amenable number.

13364492544 is an abundant number, since it is smaller than the sum of its proper divisors (28132813852).

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

13364492544 is a wasteful number, since it uses less digits than its factorization.

13364492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446232 (or 446215 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 13364492544 in words is "thirteen billion, three hundred sixty-four million, four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 446197 892394 1338591 1784788 2677182 3569576 4015773 5354364 5800561 7139152 8031546 10708728 11601122 14278304 16063092 17401683 21417456 23202244 28556608 32126184 34803366 42834912 46404488 52205049 57113216 64252368 69606732 85669824 92808976 104410098 114226432 128504736 139213464 171339648 185617952 208820196 257009472 278426928 342679296 371235904 417640392 514018944 556853856 742471808 835280784 1028037888 1113707712 1484943616 1670561568 2227415424 3341123136 4454830848 6682246272 13364492544