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72531292068 = 223210631895351
BaseRepresentation
bin100001110001100110…
…0111010111110100100
320221012211102101210200
41003203030322332210
52142021002321233
653153113150500
75145251544624
oct1034314727644
9227184371720
1072531292068
1128840029294
12120826bb430
136abb9b1c01
143720c90884
151d4796d313
hex10e333afa4

72531292068 has 36 divisors (see below), whose sum is σ = 183515562048. Its totient is φ = 24154340400.

The previous prime is 72531292061. The next prime is 72531292103. The reversal of 72531292068 is 86029213527.

72531292068 is a `hidden beast` number, since 72 + 531 + 29 + 20 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72531292061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909408 + ... + 985943.

Almost surely, 272531292068 is an apocalyptic number.

It is an amenable number.

72531292068 is an abundant number, since it is smaller than the sum of its proper divisors (110984269980).

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

72531292068 is a wasteful number, since it uses less digits than its factorization.

72531292068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896424 (or 1896419 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72531292068 in words is "seventy-two billion, five hundred thirty-one million, two hundred ninety-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1063 2126 3189 4252 6378 9567 12756 19134 38268 1895351 3790702 5686053 7581404 11372106 17058159 22744212 34116318 68232636 2014758113 4029516226 6044274339 8059032452 12088548678 18132823017 24177097356 36265646034 72531292068