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96360488640 = 263251322911239
BaseRepresentation
bin101100110111110001…
…0000101111011000000
3100012201112021000020200
41121233202011323000
53034321241114030
6112133431405200
76650621432133
oct1315742057300
9305645230220
1096360488640
1137958a90379
1216812b23800
1391187a7320
14494194821a
15278e970d60
hex166f885ec0

96360488640 has 336 divisors, whose sum is σ = 358525876800. Its totient is φ = 23613825024.

The previous prime is 96360488633. The next prime is 96360488687. The reversal of 96360488640 is 4688406369.

96360488640 is a `hidden beast` number, since 9 + 63 + 60 + 488 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8568141 + ... + 8579379.

It is an arithmetic number, because the mean of its divisors is an integer number (1067041300).

Almost surely, 296360488640 is an apocalyptic number.

96360488640 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 96360488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262938400).

96360488640 is an abundant number, since it is smaller than the sum of its proper divisors (262165388160).

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

96360488640 is a wasteful number, since it uses less digits than its factorization.

96360488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 96360488640 in words is "ninety-six billion, three hundred sixty million, four hundred eighty-eight thousand, six hundred forty".