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9967299407 = 13258978103
BaseRepresentation
bin10010100100001100…
…01110101101001111
3221201122020021100022
421102012032231033
5130403112040112
64325013452355
7501666434642
oct112206165517
927648207308
109967299407
11425530a62a
121b220410bb
13c2acab200
146a7a8da59
153d509dd72
hex25218eb4f

9967299407 has 6 divisors (see below), whose sum is σ = 10792993032. Its totient is φ = 9200583912.

The previous prime is 9967299401. The next prime is 9967299431. The reversal of 9967299407 is 7049927699.

It is a happy number.

9967299407 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 9967299407 - 214 = 9967283023 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 9967299407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967299401) 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 5 ways as a sum of consecutive naturals, for example, 29488883 + ... + 29489220.

It is an arithmetic number, because the mean of its divisors is an integer number (1798832172).

Almost surely, 29967299407 is an apocalyptic number.

9967299407 is a deficient number, since it is larger than the sum of its proper divisors (825693625).

9967299407 is a wasteful number, since it uses less digits than its factorization.

9967299407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58978129 (or 58978116 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 62.

The square root of 9967299407 is about 99836.3631499065. The cubic root of 9967299407 is about 2152.0837491966.

The spelling of 9967299407 in words is "nine billion, nine hundred sixty-seven million, two hundred ninety-nine thousand, four hundred seven".

Divisors: 1 13 169 58978103 766715339 9967299407