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13825403784 = 233364006499
BaseRepresentation
bin11001110000000111…
…01110101110001000
31022200111221021121000
430320003232232020
5211303300410114
610203514215000
7666414664443
oct147003565610
938614837530
1013825403784
115955097545
12281a124460
1313c43aa7ca
1495222865a
1555db45e09
hex3380eeb88

13825403784 has 32 divisors (see below), whose sum is σ = 38403900000. Its totient is φ = 4608467856.

The previous prime is 13825403771. The next prime is 13825403791. The reversal of 13825403784 is 48730452831.

13825403784 is a `hidden beast` number, since 1 + 38 + 2 + 540 + 3 + 78 + 4 = 666.

It is a super-2 number, since 2×138254037842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32003034 + ... + 32003465.

It is an arithmetic number, because the mean of its divisors is an integer number (1200121875).

Almost surely, 213825403784 is an apocalyptic number.

It is an amenable number.

13825403784 is an abundant number, since it is smaller than the sum of its proper divisors (24578496216).

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

13825403784 is a wasteful number, since it uses less digits than its factorization.

13825403784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64006514 (or 64006504 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13825403784 in words is "thirteen billion, eight hundred twenty-five million, four hundred three thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 64006499 128012998 192019497 256025996 384038994 512051992 576058491 768077988 1152116982 1536155976 1728175473 2304233964 3456350946 4608467928 6912701892 13825403784