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13407506352 = 2432383243101
BaseRepresentation
bin11000111110010011…
…00100111110110000
31021121101120220002100
430133021210332300
5204424310200402
610054225220400
7653151631542
oct143711447660
937541526070
1013407506352
115760207a69
122722191700
131358940b16
14912925692
155370e971c
hex31f264fb0

13407506352 has 60 divisors (see below), whose sum is σ = 37620520704. Its totient is φ = 4457481600.

The previous prime is 13407506269. The next prime is 13407506447. The reversal of 13407506352 is 25360570431.

13407506352 is a `hidden beast` number, since 13 + 4 + 0 + 7 + 5 + 0 + 635 + 2 = 666.

It is a super-2 number, since 2×134075063522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66399 + ... + 176702.

Almost surely, 213407506352 is an apocalyptic number.

13407506352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13407506352 is an abundant number, since it is smaller than the sum of its proper divisors (24213014352).

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

13407506352 is a wasteful number, since it uses less digits than its factorization.

13407506352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243498 (or 243489 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13407506352 in words is "thirteen billion, four hundred seven million, five hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 13788 18384 27576 55152 243101 486202 729303 972404 1458606 1944808 2187909 2917212 3889616 4375818 5834424 8751636 11668848 17503272 35006544 93107683 186215366 279323049 372430732 558646098 744861464 837969147 1117292196 1489722928 1675938294 2234584392 3351876588 4469168784 6703753176 13407506352