Search a number
-
+
72371810466 = 23210093984793
BaseRepresentation
bin100001101100110110…
…0100011000010100010
320220210201022220011200
41003121230203002202
52141204140413331
653125215022030
75141304144654
oct1033154430242
9226721286150
1072371810466
112876900040a
121203920a916
136a949433b7
143707a186d4
151d389695e6
hex10d9b230a2

72371810466 has 24 divisors (see below), whose sum is σ = 156961035660. Its totient is φ = 24100022016.

The previous prime is 72371810393. The next prime is 72371810471. The reversal of 72371810466 is 66401817327.

72371810466 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 181 + 0 + 466 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68423573241 + 3948237225 = 261579^2 + 62835^2 .

It is a Curzon 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, 1974235 + ... + 2010558.

Almost surely, 272371810466 is an apocalyptic number.

72371810466 is an abundant number, since it is smaller than the sum of its proper divisors (84589225194).

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

72371810466 is a wasteful number, since it uses less digits than its factorization.

72371810466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985810 (or 3985807 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72371810466 in words is "seventy-two billion, three hundred seventy-one million, eight hundred ten thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 1009 2018 3027 6054 9081 18162 3984793 7969586 11954379 23908758 35863137 71726274 4020656137 8041312274 12061968411 24123936822 36185905233 72371810466