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72976425769 = 1310195358321
BaseRepresentation
bin100001111110110111…
…0111110001100101001
320222100212000112110001
41003331232332030221
52143423431111034
653305214023001
75162265245542
oct1037556761451
9228325015401
1072976425769
1128a49320885
12121877a7a61
136b5cc96930
1437640434c9
151d71a99a14
hex10fdbbe329

72976425769 has 16 divisors (see below), whose sum is σ = 79452760464. Its totient is φ = 66624768000.

The previous prime is 72976425763. The next prime is 72976425779. The reversal of 72976425769 is 96752467927.

It can be written as a sum of positive squares in 8 ways, for example, as 5623200144 + 67353225625 = 74988^2 + 259525^2 .

It is a cyclic number.

It is not a de Polignac number, because 72976425769 - 23 = 72976425761 is a prime.

It is a super-2 number, since 2×729764257692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72976425769.

It is not an unprimeable number, because it can be changed into a prime (72976425761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222129 + ... + 1280449.

It is an arithmetic number, because the mean of its divisors is an integer number (4965797529).

Almost surely, 272976425769 is an apocalyptic number.

It is an amenable number.

72976425769 is a deficient number, since it is larger than the sum of its proper divisors (6476334695).

72976425769 is a wasteful number, since it uses less digits than its factorization.

72976425769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59388.

The product of its digits is 80015040, while the sum is 64.

The spelling of 72976425769 in words is "seventy-two billion, nine hundred seventy-six million, four hundred twenty-five thousand, seven hundred sixty-nine".

Divisors: 1 13 101 953 1313 12389 58321 96253 758173 1251289 5890421 55579913 76575473 722538869 5613571213 72976425769