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13427603136 = 2632172359621
BaseRepresentation
bin11001000000101100…
…01111011011000000
31021122210101220200200
430200112033123000
5204444431300021
610100224045200
7653514513003
oct144026173300
937583356620
1013427603136
115770593a82
122728a63800
13135cb592cc
1491547753a
15538c69126
hex32058f6c0

13427603136 has 168 divisors, whose sum is σ = 42524318304. Its totient is φ = 4029358080.

The previous prime is 13427603099. The next prime is 13427603173. The reversal of 13427603136 is 63130672431.

13427603136 is a `hidden beast` number, since 1 + 3 + 42 + 7 + 603 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13427603099) and next prime (13427603173).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13427603136.

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, 195406 + ... + 255026.

Almost surely, 213427603136 is an apocalyptic number.

13427603136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13427603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262159152).

13427603136 is an abundant number, since it is smaller than the sum of its proper divisors (29096715168).

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

13427603136 is a wasteful number, since it uses less digits than its factorization.

13427603136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59679 (or 59666 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13427603136 in words is "thirteen billion, four hundred twenty-seven million, six hundred three thousand, one hundred thirty-six".