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39131413272 = 2332777641693
BaseRepresentation
bin100100011100011010…
…011111101100011000
310202000010122202111200
4210130122133230120
51120120120211042
625550545554200
72553466344660
oct443432375430
9122003582450
1039131413272
1115660731a76
127701045960
1338c8137213
141c730ab1a0
151040612c4c
hex91c69fb18

39131413272 has 48 divisors (see below), whose sum is σ = 121121042640. Its totient is φ = 11180403648.

The previous prime is 39131413247. The next prime is 39131413339. The reversal of 39131413272 is 27231413193.

39131413272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38820343 + ... + 38821350.

It is an arithmetic number, because the mean of its divisors is an integer number (2523355055).

Almost surely, 239131413272 is an apocalyptic number.

It is an amenable number.

39131413272 is an abundant number, since it is smaller than the sum of its proper divisors (81989629368).

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

39131413272 is a wasteful number, since it uses less digits than its factorization.

39131413272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77641712 (or 77641705 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 39131413272 in words is "thirty-nine billion, one hundred thirty-one million, four hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 77641693 155283386 232925079 310566772 465850158 543491851 621133544 698775237 931700316 1086983702 1397550474 1630475553 1863400632 2173967404 2795100948 3260951106 4347934808 4891426659 5590201896 6521902212 9782853318 13043804424 19565706636 39131413272