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96164908164 = 22321319293710079
BaseRepresentation
bin101100110001111100…
…0000000110010000100
3100012012220020111021100
41121203320000302010
53033421204030124
6112102203420100
76643025142513
oct1314370006204
9305186214240
1096164908164
1137868646916
1216779524630
1390b7109830
14492399667a
15277c6db1c9
hex1663e00c84

96164908164 has 288 divisors, whose sum is σ = 292795776000. Its totient is φ = 26331153408.

The previous prime is 96164908061. The next prime is 96164908181. The reversal of 96164908164 is 46180946169.

It is a happy number.

96164908164 is a `hidden beast` number, since 9 + 6 + 16 + 490 + 81 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96164908164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9536077 + ... + 9546155.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652000).

Almost surely, 296164908164 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 96164908164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888000).

96164908164 is an abundant number, since it is smaller than the sum of its proper divisors (196630867836).

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

96164908164 is a wasteful number, since it uses less digits than its factorization.

96164908164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 96164908164 in words is "ninety-six billion, one hundred sixty-four million, nine hundred eight thousand, one hundred sixty-four".