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32081603613696 = 210347139914289
BaseRepresentation
bin1110100101101100101001…
…00101100101010000000000
311012120222020010010200220000
413102312110211211100000
513201111111011114241
6152122030224520000
76520551021226410
oct722662445452000
9135528203120800
1032081603613696
11a24980596869a
123721768180000
1314b9389107c70
147cca8796a640
153a97b1e39eb6
hex1d2d94965400

32081603613696 has 880 divisors, whose sum is σ = 118056580561920. Its totient is φ = 8450573598720.

The previous prime is 32081603613677. The next prime is 32081603613769. The reversal of 32081603613696 is 69631630618023.

32081603613696 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 16 + 0 + 3 + 613 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7479970720 + ... + 7479975008.

It is an arithmetic number, because the mean of its divisors is an integer number (134155205184).

Almost surely, 232081603613696 is an apocalyptic number.

32081603613696 is a gapful number since it is divisible by the number (36) 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 32081603613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028290280960).

32081603613696 is an abundant number, since it is smaller than the sum of its proper divisors (85974976948224).

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

32081603613696 is a wasteful number, since it uses less digits than its factorization.

32081603613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 32081603613696 in words is "thirty-two trillion, eighty-one billion, six hundred three million, six hundred thirteen thousand, six hundred ninety-six".