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916939026432 = 212321113312181
BaseRepresentation
bin11010101011111011101…
…00110011000000000000
310020122210001112210010200
431111331310303000000
5110010342342321212
61541122545325200
7123150414061152
oct15257564630000
93218701483120
10916939026432
113239651a30a0
12129861036800
136860bc51380
1432546d52ad2
1518cb96ac6dc
hexd57dd33000

916939026432 has 936 divisors, whose sum is σ = 3233033438544. Its totient is φ = 246841344000.

The previous prime is 916939026427. The next prime is 916939026469. The reversal of 916939026432 is 234620939619.

916939026432 is a `hidden beast` number, since 9 + 16 + 93 + 90 + 26 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5065961382 + ... + 5065961562.

It is an arithmetic number, because the mean of its divisors is an integer number (3454095554).

Almost surely, 2916939026432 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 916939026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616516719272).

916939026432 is an abundant number, since it is smaller than the sum of its proper divisors (2316094412112).

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

916939026432 is a wasteful number, since it uses less digits than its factorization.

916939026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 916939026432 in words is "nine hundred sixteen billion, nine hundred thirty-nine million, twenty-six thousand, four hundred thirty-two".