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72245156832 = 25321721145759
BaseRepresentation
bin100001101001000100…
…1011001101111100000
320220110220000020001100
41003102021121233200
52140424230004312
653104452234400
75135205462252
oct1032211315740
9226426006040
1072245156832
1128703564692
121200290ba00
136a74629b14
1436d4c89cd2
151d2c79c5dc
hex10d2259be0

72245156832 has 72 divisors (see below), whose sum is σ = 205567951680. Its totient is φ = 24067560960.

The previous prime is 72245156801. The next prime is 72245156833. The reversal of 72245156832 is 23865154227.

72245156832 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 51 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72245156833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422769 + ... + 568527.

It is an arithmetic number, because the mean of its divisors is an integer number (2855110440).

Almost surely, 272245156832 is an apocalyptic number.

72245156832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72245156832 is an abundant number, since it is smaller than the sum of its proper divisors (133322794848).

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

72245156832 is a wasteful number, since it uses less digits than its factorization.

72245156832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147496 (or 147485 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 72245156832 in words is "seventy-two billion, two hundred forty-five million, one hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1721 3442 5163 6884 10326 13768 15489 20652 27536 30978 41304 55072 61956 82608 123912 145759 165216 247824 291518 437277 495648 583036 874554 1166072 1311831 1749108 2332144 2623662 3498216 4664288 5247324 6996432 10494648 13992864 20989296 41978592 250851239 501702478 752553717 1003404956 1505107434 2006809912 2257661151 3010214868 4013619824 4515322302 6020429736 8027239648 9030644604 12040859472 18061289208 24081718944 36122578416 72245156832