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96331052160 = 27325721721181
BaseRepresentation
bin101100110110111000…
…1110011010010000000
3100012122110212110222200
41121231301303102000
53034241222132120
6112130500433200
76650113301400
oct1315561632200
9305573773880
1096331052160
1137943405302
12168050a8800
13911266b9a5
14493ba84800
15278c0a8e90
hex166dc73480

96331052160 has 864 divisors, whose sum is σ = 411401140020. Its totient is φ = 20705771520.

The previous prime is 96331052159. The next prime is 96331052173. The reversal of 96331052160 is 6125013369.

96331052160 is a `hidden beast` number, since 9 + 63 + 3 + 10 + 521 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 87128870976 + 9202181184 = 295176^2 + 95928^2 .

It is a super-4 number, since 4×963310521604 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81566770 + ... + 81567950.

Almost surely, 296331052160 is an apocalyptic number.

96331052160 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 96331052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205700570010).

96331052160 is an abundant number, since it is smaller than the sum of its proper divisors (315070087860).

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

96331052160 is a wasteful number, since it uses less digits than its factorization.

96331052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 96331052160 in words is "ninety-six billion, three hundred thirty-one million, fifty-two thousand, one hundred sixty".