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72323557632 = 283231390433
BaseRepresentation
bin100001101011011010…
…0011110100100000000
320220200100112101201200
41003112310132210000
52141104312321012
653120332501200
75140150045104
oct1032664364400
9226610471650
1072323557632
1128743843337
121202501a800
136a8794a321
143701457904
151d345d73dc
hex10d6d1e900

72323557632 has 54 divisors (see below), whose sum is σ = 208526653062. Its totient is φ = 24107851776.

The previous prime is 72323557619. The next prime is 72323557679. The reversal of 72323557632 is 23675532327.

72323557632 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 3 + 5 + 5 + 7 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60586868736 + 11736688896 = 246144^2 + 108336^2 .

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, 15692913 + ... + 15697520.

Almost surely, 272323557632 is an apocalyptic number.

72323557632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72323557632 is an abundant number, since it is smaller than the sum of its proper divisors (136203095430).

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

72323557632 is a wasteful number, since it uses less digits than its factorization.

72323557632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31390455 (or 31390438 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 45.

The spelling of 72323557632 in words is "seventy-two billion, three hundred twenty-three million, five hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 31390433 62780866 94171299 125561732 188342598 251123464 282513897 376685196 502246928 565027794 753370392 1004493856 1130055588 1506740784 2008987712 2260111176 3013481568 4017975424 4520222352 6026963136 8035950848 9040444704 12053926272 18080889408 24107852544 36161778816 72323557632