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31993918416 = 2432222179989
BaseRepresentation
bin11101110010111111…
…000111001111010000
310001120201012110020100
4131302333013033100
51011010420342131
622410420412400
72211560551035
oct356277071720
9101521173210
1031993918416
1112628807499
12624a847100
13302b4c0295
14179719d38c
15c73bd97e6
hex772fc73d0

31993918416 has 30 divisors (see below), whose sum is σ = 89538535970. Its totient is φ = 10664639424.

The previous prime is 31993918403. The next prime is 31993918423. The reversal of 31993918416 is 61481939913.

31993918416 is a `hidden beast` number, since 3 + 199 + 39 + 1 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29756250000 + 2237668416 = 172500^2 + 47304^2 .

It is a super-2 number, since 2×319939184162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 111089851 + ... + 111090138.

Almost surely, 231993918416 is an apocalyptic number.

31993918416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31993918416 is an abundant number, since it is smaller than the sum of its proper divisors (57544617554).

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

31993918416 is a wasteful number, since it uses less digits than its factorization.

31993918416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222180003 (or 222179994 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 31993918416 in words is "thirty-one billion, nine hundred ninety-three million, nine hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 222179989 444359978 666539967 888719956 1333079934 1777439912 1999619901 2666159868 3554879824 3999239802 5332319736 7998479604 10664639472 15996959208 31993918416