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9975770909 = 1310120893637
BaseRepresentation
bin10010100101001101…
…00010111100011101
3221202020011200001122
421102212202330131
5130412244132114
64325515220325
7502131440126
oct112246427435
927666150048
109975770909
11425a076375
121b24a476a5
13c2c986130
146a8c5704d
153d5bc3e8e
hex2529a2f1d

9975770909 has 16 divisors (see below), whose sum is σ = 10857683760. Its totient is φ = 9110361600.

The previous prime is 9975770881. The next prime is 9975770921. The reversal of 9975770909 is 9090775799.

It is a happy number.

9975770909 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 156025 + 9975614884 = 395^2 + 99878^2 .

It is not a de Polignac number, because 9975770909 - 216 = 9975705373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975770999) 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 15 ways as a sum of consecutive naturals, for example, 2741039 + ... + 2744675.

It is an arithmetic number, because the mean of its divisors is an integer number (678605235).

Almost surely, 29975770909 is an apocalyptic number.

It is an amenable number.

9975770909 is a deficient number, since it is larger than the sum of its proper divisors (881912851).

9975770909 is a wasteful number, since it uses less digits than its factorization.

9975770909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840.

The product of its (nonzero) digits is 11252115, while the sum is 62.

The square root of 9975770909 is about 99878.7810748609. The cubic root of 9975770909 is about 2152.6932830448.

The spelling of 9975770909 in words is "nine billion, nine hundred seventy-five million, seven hundred seventy thousand, nine hundred nine".

Divisors: 1 13 101 1313 2089 3637 27157 47281 210989 367337 2742857 4775381 7597693 98770009 767366993 9975770909