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32116940944 = 2411240732
BaseRepresentation
bin11101111010010100…
…011010000010010000
310001220021200122102021
4131322110122002100
51011233414102234
622430533301224
72214613331224
oct357224320220
9101807618367
1032116940944
11126911a3100
126283a94814
13304ab34b8a
1417a9664784
15c7e8da9b4
hex77a51a090

32116940944 has 45 divisors (see below), whose sum is σ = 68414600569. Its totient is φ = 14595025280.

The previous prime is 32116940941. The next prime is 32116940953. The reversal of 32116940944 is 44904961123.

The square root of 32116940944 is 179212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3450387600 + 28666553344 = 58740^2 + 169312^2 .

It is a super-2 number, since 2×321169409442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32116940944.

It is not an unprimeable number, because it can be changed into a prime (32116940941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7883292 + ... + 7887364.

Almost surely, 232116940944 is an apocalyptic number.

32116940944 is the 179212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32116940944

32116940944 is an abundant number, since it is smaller than the sum of its proper divisors (36297659625).

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

32116940944 is an frugal number, since it uses more digits than its factorization.

32116940944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 32116940944 in words is "thirty-two billion, one hundred sixteen million, nine hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 4073 8146 16292 32584 44803 65168 89606 179212 358424 492833 716848 985666 1971332 3942664 7885328 16589329 33178658 66357316 132714632 182482619 265429264 364965238 729930476 1459860952 2007308809 2919721904 4014617618 8029235236 16058470472 32116940944