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9597924961 = 3134
BaseRepresentation
bin10001111000001010…
…01011011001100001
3220202220012002212021
420330011023121201
5124124032044321
64224220501441
7456563005342
oct107405133141
926686162767
109597924961
114085862099
121a3a3aa881
13b9c600551
146709bc0c9
153b2939941
hex23c14b661

9597924961 has 5 divisors (see below), whose sum is σ = 9628687541. Its totient is φ = 9567260664.

The previous prime is 9597924877. The next prime is 9597924977. The reversal of 9597924961 is 1694297959.

The square root of 9597924961 is 97969.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9354564961 + 243360000 = 96719^2 + 15600^2 .

It is not a de Polignac number, because 9597924961 - 211 = 9597922913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9597924961.

It is not an unprimeable number, because it can be changed into a prime (9597924761) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 30664141 + ... + 30664453.

Almost surely, 29597924961 is an apocalyptic number.

9597924961 is the 97969-th square number.

9597924961 is the 48985-th centered octagonal number.

It is an amenable number.

9597924961 is a deficient number, since it is larger than the sum of its proper divisors (30762580).

9597924961 is an frugal number, since it uses more digits than its factorization.

9597924961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 313 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 61.

The cubic root of 9597924961 is about 2125.1639983049.

The spelling of 9597924961 in words is "nine billion, five hundred ninety-seven million, nine hundred twenty-four thousand, nine hundred sixty-one".

Divisors: 1 313 97969 30664297 9597924961