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31439880192 = 21537261107
BaseRepresentation
bin11101010001111101…
…101000000000000000
310000011002200101200010
4131101331220000000
51003342102131232
622235425424520
72162052400200
oct352175500000
9100132611603
1031439880192
1112373aa1366
12611519b140
132c70797a06
14174377c400
15c4024a0cc
hex751f68000

31439880192 has 384 divisors, whose sum is σ = 100051498080. Its totient is φ = 8752988160.

The previous prime is 31439880169. The next prime is 31439880239. The reversal of 31439880192 is 29108893413.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 293830603 + ... + 293830709.

Almost surely, 231439880192 is an apocalyptic number.

31439880192 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 31439880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50025749040).

31439880192 is an abundant number, since it is smaller than the sum of its proper divisors (68611617888).

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

31439880192 is an equidigital number, since it uses as much as digits as its factorization.

31439880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 31439880192 in words is "thirty-one billion, four hundred thirty-nine million, eight hundred eighty thousand, one hundred ninety-two".