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96623860320 = 253251331241131
BaseRepresentation
bin101100111111100111…
…0110001101001100000
3100020101212211200021100
41121333032301221200
53040341202012240
6112215520354400
76660300155451
oct1317716615140
9306355750240
1096623860320
1137a83717419
1216887175a00
13915b21c160
144968905128
1527a7b46e30
hex167f3b1a60

96623860320 has 864 divisors, whose sum is σ = 378735188832. Its totient is φ = 22284288000.

The previous prime is 96623860301. The next prime is 96623860367. The reversal of 96623860320 is 2306832669.

96623860320 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 38 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 737586655 + ... + 737586785.

It is an arithmetic number, because the mean of its divisors is an integer number (438350913).

Almost surely, 296623860320 is an apocalyptic number.

96623860320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96623860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189367594416).

96623860320 is an abundant number, since it is smaller than the sum of its proper divisors (282111328512).

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

96623860320 is a wasteful number, since it uses less digits than its factorization.

96623860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 96623860320 in words is "ninety-six billion, six hundred twenty-three million, eight hundred sixty thousand, three hundred twenty".