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79652716416 = 27337132331087
BaseRepresentation
bin100101000101110101…
…0111111111110000000
321121121010122020111000
41022023222333332000
52301112043411131
6100331510052000
75516603630010
oct1121352777600
9247533566430
1079652716416
1130864977859
121352b64a000
1376851c0180
143bd89b7c40
152112c6ece6
hex128babff80

79652716416 has 512 divisors, whose sum is σ = 290845900800. Its totient is φ = 20897906688.

The previous prime is 79652716399. The next prime is 79652716447. The reversal of 79652716416 is 61461725697.

79652716416 is a `hidden beast` number, since 7 + 96 + 527 + 16 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73277025 + ... + 73278111.

It is an arithmetic number, because the mean of its divisors is an integer number (568058400).

Almost surely, 279652716416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79652716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145422950400).

79652716416 is an abundant number, since it is smaller than the sum of its proper divisors (211193184384).

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

79652716416 is a wasteful number, since it uses less digits than its factorization.

79652716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1345 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 79652716416 in words is "seventy-nine billion, six hundred fifty-two million, seven hundred sixteen thousand, four hundred sixteen".