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13297136832 = 2632723143387
BaseRepresentation
bin11000110001001001…
…00011010011000000
31021022200220112120100
430120210203103000
5204213031334312
610035243442400
7650341540530
oct143044432300
937280815510
1013297136832
115703983791
1226b1226400
13133bb09505
14901dd54c0
1552c5975dc
hex3189234c0

13297136832 has 168 divisors, whose sum is σ = 45452848896. Its totient is φ = 3633974784.

The previous prime is 13297136803. The next prime is 13297136861. The reversal of 13297136832 is 23863179231.

It is an interprime number because it is at equal distance from previous prime (13297136803) and next prime (13297136861).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

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, 21043 + ... + 164429.

It is an arithmetic number, because the mean of its divisors is an integer number (270552672).

Almost surely, 213297136832 is an apocalyptic number.

13297136832 is a gapful number since it is divisible by the number (12) 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 13297136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726424448).

13297136832 is an abundant number, since it is smaller than the sum of its proper divisors (32155712064).

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

13297136832 is a wasteful number, since it uses less digits than its factorization.

13297136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143435 (or 143422 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 13297136832 in words is "thirteen billion, two hundred ninety-seven million, one hundred thirty-six thousand, eight hundred thirty-two".