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96918826752 = 28331117167449
BaseRepresentation
bin101101001000011001…
…1111110111100000000
3100021011102212112011000
41122100303332330000
53041442204424002
6112305054452000
710000511302056
oct1322063767400
9307142775130
1096918826752
1138115173030
1216949b04000
1391a7376ac7
144995b681d6
1527c39ae61c
hex1690cfef00

96918826752 has 576 divisors, whose sum is σ = 333777024000. Its totient is φ = 27415019520.

The previous prime is 96918826733. The next prime is 96918826831. The reversal of 96918826752 is 25762881969.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 96918826752.

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, 215854624 + ... + 215855072.

It is an arithmetic number, because the mean of its divisors is an integer number (579474000).

Almost surely, 296918826752 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 96918826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166888512000).

96918826752 is an abundant number, since it is smaller than the sum of its proper divisors (236858197248).

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

96918826752 is a wasteful number, since it uses less digits than its factorization.

96918826752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 649 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 96918826752 in words is "ninety-six billion, nine hundred eighteen million, eight hundred twenty-six thousand, seven hundred fifty-two".