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79451260641 = 34313192
BaseRepresentation
bin100100111111110101…
…0100000011011100001
321121002002120020010000
41021333222200123201
52300204010320031
6100255512130213
75511606400254
oct1117752403341
9247062506100
1079451260641
1130771190085
1213494096969
13765254637c
143bb9d3709b
1521002293e6
hex127faa06e1

79451260641 has 15 divisors (see below), whose sum is σ = 118690240801. Its totient is φ = 52965815868.

The previous prime is 79451260631. The next prime is 79451260657. The reversal of 79451260641 is 14606215497.

The square root of 79451260641 is 281871.

It is a perfect power (a square), and thus also a powerful number.

79451260641 is a `hidden beast` number, since 7 + 94 + 512 + 6 + 0 + 6 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2k-79451260641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79451260631) 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 14 ways as a sum of consecutive naturals, for example, 2521180 + ... + 2552498.

Almost surely, 279451260641 is an apocalyptic number.

79451260641 is the 281871-st square number.

79451260641 is the 140936-th centered octagonal number.

It is an amenable number.

79451260641 is a deficient number, since it is larger than the sum of its proper divisors (39238980160).

79451260641 is an frugal number, since it uses more digits than its factorization.

79451260641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62650 (or 31322 counting only the distinct ones).

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

The spelling of 79451260641 in words is "seventy-nine billion, four hundred fifty-one million, two hundred sixty thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 31319 93957 281871 845613 2536839 980879761 2942639283 8827917849 26483753547 79451260641