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96261605604 = 22343121013061
BaseRepresentation
bin101100110100110100…
…0111000100011100100
3100012110122012020020000
41121221220320203210
53034120432334404
6112115540141300
76645311101323
oct1315150704344
9305418166200
1096261605604
113790819205a
12167a5997830
139101165058
1449327680ba
152785e3c339
hex1669a388e4

96261605604 has 180 divisors, whose sum is σ = 262686659004. Its totient is φ = 30734640000.

The previous prime is 96261605603. The next prime is 96261605611. The reversal of 96261605604 is 40650616269.

96261605604 is a `hidden beast` number, since 9 + 6 + 26 + 1 + 60 + 560 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92143816704 + 4117788900 = 303552^2 + 64170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96261605604.

It is not an unprimeable number, because it can be changed into a prime (96261605603) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 31446234 + ... + 31449294.

Almost surely, 296261605604 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 96261605604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131343329502).

96261605604 is an abundant number, since it is smaller than the sum of its proper divisors (166425053400).

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

96261605604 is a wasteful number, since it uses less digits than its factorization.

96261605604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 96261605604 in words is "ninety-six billion, two hundred sixty-one million, six hundred five thousand, six hundred four".