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13415004456264 = 23321710959970961
BaseRepresentation
bin1100001100110110110010…
…0100110100010101001000
31202111110110201121020210200
43003031230210310111020
53224242412120100024
644310433514212200
72553126213312015
oct303155444642510
952443421536720
1013415004456264
1143022a9318174
121607b01a24060
1376404ca42c38
1434540ac4c70c
15183e4d4752c9
hexc336c934548

13415004456264 has 48 divisors (see below), whose sum is σ = 38469498076620. Its totient is φ = 4208628848640.

The previous prime is 13415004456251. The next prime is 13415004456317. The reversal of 13415004456264 is 46265440051431.

13415004456264 is a `hidden beast` number, since 1 + 3 + 4 + 15 + 0 + 0 + 4 + 4 + 5 + 626 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11662976312100 + 1752028144164 = 3415110^2 + 1323642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5479984257 + ... + 5479986704.

Almost surely, 213415004456264 is an apocalyptic number.

It is an amenable number.

13415004456264 is an abundant number, since it is smaller than the sum of its proper divisors (25054493620356).

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

13415004456264 is a wasteful number, since it uses less digits than its factorization.

13415004456264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959970990 (or 10959970983 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 13415004456264 in words is "thirteen trillion, four hundred fifteen billion, four million, four hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10959970961 21919941922 32879912883 43839883844 65759825766 87679767688 98639738649 131519651532 186319506337 197279477298 263039303064 372639012674 394558954596 558958519011 745278025348 789117909192 1117917038022 1490556050696 1676875557033 2235834076044 3353751114066 4471668152088 6707502228132 13415004456264