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96264943560 = 233353121113627
BaseRepresentation
bin101100110100111010…
…1100111011111001000
3100012110212110211001000
41121221311213133020
53034122311143220
6112120135455000
76645351343062
oct1315165473710
9305425424030
1096264943560
113790a0619a5
12167a6b27460
139101a63486
144932d96732
15278639b390
hex1669d677c8

96264943560 has 256 divisors, whose sum is σ = 332828467200. Its totient is φ = 24723014400.

The previous prime is 96264943549. The next prime is 96264943571. The reversal of 96264943560 is 6534946269.

96264943560 is a `hidden beast` number, since 9 + 62 + 6 + 494 + 35 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (96264943549) and next prime (96264943571).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96264943497 and 96264943506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7057467 + ... + 7071093.

It is an arithmetic number, because the mean of its divisors is an integer number (1300111200).

Almost surely, 296264943560 is an apocalyptic number.

96264943560 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 96264943560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166414233600).

96264943560 is an abundant number, since it is smaller than the sum of its proper divisors (236563523640).

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

96264943560 is a wasteful number, since it uses less digits than its factorization.

96264943560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889 (or 13879 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 96264943560 in words is "ninety-six billion, two hundred sixty-four million, nine hundred forty-three thousand, five hundred sixty".