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9972149170 = 2517137428173
BaseRepresentation
bin10010100100110001…
…01110101110110010
3221201222100122222011
421102120232232302
5130410332233140
64325305433134
7502055604124
oct112230565662
927658318864
109972149170
1142580222a5
121b2379b7aa
13c2bcb87a9
146a8593214
153d570acea
hex25262ebb2

9972149170 has 32 divisors (see below), whose sum is σ = 19144515888. Its totient is φ = 3726809088.

The previous prime is 9972149141. The next prime is 9972149197. The reversal of 9972149170 is 719412799.

9972149170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8886644361 + 1085504809 = 94269^2 + 32947^2 .

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 15 ways as a sum of consecutive naturals, for example, 190797 + ... + 237376.

Almost surely, 29972149170 is an apocalyptic number.

9972149170 is a deficient number, since it is larger than the sum of its proper divisors (9172366718).

9972149170 is a wasteful number, since it uses less digits than its factorization.

9972149170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428334.

The product of its (nonzero) digits is 285768, while the sum is 49.

The square root of 9972149170 is about 99860.6487561542. The cubic root of 9972149170 is about 2152.4327372018.

The spelling of 9972149170 in words is "nine billion, nine hundred seventy-two million, one hundred forty-nine thousand, one hundred seventy".

Divisors: 1 2 5 10 17 34 85 137 170 274 685 1370 2329 4658 11645 23290 428173 856346 2140865 4281730 7278941 14557882 36394705 58659701 72789410 117319402 293298505 586597010 997214917 1994429834 4986074585 9972149170