Search a number
-
+
95996244096 = 273517712557
BaseRepresentation
bin101100101100111010…
…0100111000010000000
3100011210010212110200000
41121121310213002000
53033100014302341
6112033340400000
76635606416524
oct1313164470200
9304703773600
1095996244096
1137791417025
1216730b46000
13908b1a45cc
14490940dd84
15276c9c18b6
hex1659d27080

95996244096 has 384 divisors, whose sum is σ = 307713893760. Its totient is φ = 29680680960.

The previous prime is 95996244067. The next prime is 95996244107. The reversal of 95996244096 is 69044269959.

It is a tau number, because it is divible by the number of its divisors (384).

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, 37541250 + ... + 37543806.

It is an arithmetic number, because the mean of its divisors is an integer number (801338265).

Almost surely, 295996244096 is an apocalyptic number.

95996244096 is a gapful number since it is divisible by the number (96) 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 95996244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153856946880).

95996244096 is an abundant number, since it is smaller than the sum of its proper divisors (211717649664).

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

95996244096 is a wasteful number, since it uses less digits than its factorization.

95996244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 95996244096 in words is "ninety-five billion, nine hundred ninety-six million, two hundred forty-four thousand, ninety-six".