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916676993328 = 2435971107137311
BaseRepresentation
bin11010101011011100011…
…01001110000100110000
310020122002210111010021220
431111232031032010300
5110004323302241303
61541040545145040
7123141052611225
oct15255615160460
93218083433256
10916676993328
113238402a0808
121297a932b180
13685998878b5
143252022394c
1518ca169d053
hexd56e34e130

916676993328 has 320 divisors, whose sum is σ = 2490937712640. Its totient is φ = 290303641600.

The previous prime is 916676993293. The next prime is 916676993333. The reversal of 916676993328 is 823399676619.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2947514293 + ... + 2947514603.

It is an arithmetic number, because the mean of its divisors is an integer number (7784180352).

Almost surely, 2916676993328 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 916676993328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245468856320).

916676993328 is an abundant number, since it is smaller than the sum of its proper divisors (1574260719312).

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

916676993328 is a wasteful number, since it uses less digits than its factorization.

916676993328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 69.

The spelling of 916676993328 in words is "nine hundred sixteen billion, six hundred seventy-six million, nine hundred ninety-three thousand, three hundred twenty-eight".