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72363327048 = 2334111671801
BaseRepresentation
bin100001101100100110…
…0001011111001001000
320220210010100220010000
41003121030023321020
52141200002431143
653124313123000
75141142062655
oct1033114137110
9226703326100
1072363327048
1128764236721
12120363b9460
136a92c62c1c
14370684ac2c
151d37d40bd3
hex10d930be48

72363327048 has 40 divisors (see below), whose sum is σ = 202684320630. Its totient is φ = 24121108800.

The previous prime is 72363327017. The next prime is 72363327061. The reversal of 72363327048 is 84072336327.

72363327048 is a `hidden beast` number, since 7 + 2 + 3 + 633 + 2 + 7 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66430938564 + 5932388484 = 257742^2 + 77022^2 .

It is a super-2 number, since 2×723633270482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72363326994 and 72363327012.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55835253 + ... + 55836548.

Almost surely, 272363327048 is an apocalyptic number.

It is an amenable number.

72363327048 is an abundant number, since it is smaller than the sum of its proper divisors (130320993582).

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

72363327048 is a wasteful number, since it uses less digits than its factorization.

72363327048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111671819 (or 111671806 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 72363327048 in words is "seventy-two billion, three hundred sixty-three million, three hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 111671801 223343602 335015403 446687204 670030806 893374408 1005046209 1340061612 2010092418 2680123224 3015138627 4020184836 6030277254 8040369672 9045415881 12060554508 18090831762 24121109016 36181663524 72363327048