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9972501407 = 112471753561
BaseRepresentation
bin10010100100110100…
…00100101110011111
3221202000000120010222
421102122010232133
5130410430021112
64325321151555
7502061602061
oct112232045637
927660016128
109972501407
114258242a00
121b2392b5bb
13c2c0acc0b
146a8645731
153d577a372
hex252684b9f

9972501407 has 12 divisors (see below), whose sum is σ = 11194739808. Its totient is φ = 8873013600.

The previous prime is 9972501401. The next prime is 9972501419. The reversal of 9972501407 is 7041052799.

9972501407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9972501407 - 28 = 9972501151 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 (9972501401) 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 11 ways as a sum of consecutive naturals, for example, 871094 + ... + 882467.

It is an arithmetic number, because the mean of its divisors is an integer number (932894984).

Almost surely, 29972501407 is an apocalyptic number.

9972501407 is a deficient number, since it is larger than the sum of its proper divisors (1222238401).

9972501407 is a wasteful number, since it uses less digits than its factorization.

9972501407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753630 (or 1753619 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 9972501407 is about 99862.4123832386. The cubic root of 9972501407 is about 2152.4580797002.

The spelling of 9972501407 in words is "nine billion, nine hundred seventy-two million, five hundred one thousand, four hundred seven".

Divisors: 1 11 47 121 517 5687 1753561 19289171 82417367 212180881 906591037 9972501407