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72012546657 = 3241195155953
BaseRepresentation
bin100001100010001001…
…0000100001001100001
320212212200022101212200
41003010102010021201
52134440202443112
653025422443413
75126352355422
oct1030422041141
9225780271780
1072012546657
11285a4229177
1211b58a33569
136a3839576c
1436b2019649
151d17150cdc
hex10c4484261

72012546657 has 12 divisors (see below), whose sum is σ = 106555150884. Its totient is φ = 46837428480.

The previous prime is 72012546649. The next prime is 72012546677. The reversal of 72012546657 is 75664521027.

It can be written as a sum of positive squares in 2 ways, for example, as 26352976896 + 45659569761 = 162336^2 + 213681^2 .

It is not a de Polignac number, because 72012546657 - 23 = 72012546649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72012546677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97577608 + ... + 97578345.

It is an arithmetic number, because the mean of its divisors is an integer number (8879595907).

Almost surely, 272012546657 is an apocalyptic number.

It is an amenable number.

72012546657 is a deficient number, since it is larger than the sum of its proper divisors (34542604227).

72012546657 is a wasteful number, since it uses less digits than its factorization.

72012546657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195156000 (or 195155997 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72012546657 in words is "seventy-two billion, twelve million, five hundred forty-six thousand, six hundred fifty-seven".

Divisors: 1 3 9 41 123 369 195155953 585467859 1756403577 8001394073 24004182219 72012546657