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39728865120 = 25357112310529
BaseRepresentation
bin100101000000000001…
…100101111101100000
310210112202212110100220
4211000001211331200
51122331042140440
630130131243040
72604342532050
oct450001457540
9123482773326
1039728865120
11159379aa42a
127849149480
133991b50019
141ccc58d560
151077cca8d0
hex940065f60

39728865120 has 192 divisors, whose sum is σ = 143164869120. Its totient is φ = 9071935488.

The previous prime is 39728865091. The next prime is 39728865221. The reversal of 39728865120 is 2156882793.

It is a super-2 number, since 2×397288651202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3768016 + ... + 3778544.

It is an arithmetic number, because the mean of its divisors is an integer number (745650360).

Almost surely, 239728865120 is an apocalyptic number.

39728865120 is a gapful number since it is divisible by the number (30) 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 39728865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71582434560).

39728865120 is an abundant number, since it is smaller than the sum of its proper divisors (103436004000).

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

39728865120 is a wasteful number, since it uses less digits than its factorization.

39728865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 39728865120 in words is "thirty-nine billion, seven hundred twenty-eight million, eight hundred sixty-five thousand, one hundred twenty".