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9245207104 = 26721721012
BaseRepresentation
bin10001001110000111…
…01010101001000000
3212212022111011220221
420213003222221000
5122413233111404
64125220512424
7445050651400
oct104703525100
925768434827
109245207104
113a14750a31
12196024b714
13b44505263
14639c04800
153919b5954
hex2270eaa40

9245207104 has 189 divisors, whose sum is σ = 22897109019. Its totient is φ = 3692236800.

The previous prime is 9245207039. The next prime is 9245207119. The reversal of 9245207104 is 4017025429.

The square root of 9245207104 is 96152.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5505640000 + 3739567104 = 74200^2 + 61152^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 9245207104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91536654 + ... + 91536754.

Almost surely, 29245207104 is an apocalyptic number.

9245207104 is the 96152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9245207104

9245207104 is an abundant number, since it is smaller than the sum of its proper divisors (13651901915).

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

9245207104 is a wasteful number, since it uses less digits than its factorization.

9245207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 9245207104 is about 2098.8056022837.

The spelling of 9245207104 in words is "nine billion, two hundred forty-five million, two hundred seven thousand, one hundred four".