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32007131712 = 2632712333359
BaseRepresentation
bin11101110011110001…
…100001001001000000
310001121122001202110200
4131303301201021000
51011022311203322
622412011525200
72212111062543
oct356361411100
9101548052420
1032007131712
1112635211876
126253159800
1330311685ba
141798c3c85a
15c74e498ac
hex773c61240

32007131712 has 168 divisors, whose sum is σ = 93461921280. Its totient is φ = 10470512640.

The previous prime is 32007131699. The next prime is 32007131839. The reversal of 32007131712 is 21713170023.

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, 9527089 + ... + 9530447.

It is an arithmetic number, because the mean of its divisors is an integer number (556320960).

Almost surely, 232007131712 is an apocalyptic number.

32007131712 is a gapful number since it is divisible by the number (32) 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 32007131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46730960640).

32007131712 is an abundant number, since it is smaller than the sum of its proper divisors (61454789568).

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

32007131712 is a wasteful number, since it uses less digits than its factorization.

32007131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 32007131712 in words is "thirty-two billion, seven million, one hundred thirty-one thousand, seven hundred twelve".