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9969106251 = 313493151839
BaseRepresentation
bin10010100100011010…
…00111110101001011
3221201202122001212110
421102031013311023
5130404042400001
64325120313403
7502021001466
oct112215076513
927652561773
109969106251
114256334095
121b22772863
13c2b491750
146a80002dd
153d53093d6
hex252347d4b

9969106251 has 16 divisors (see below), whose sum is σ = 14317793280. Its totient is φ = 6133472160.

The previous prime is 9969106247. The next prime is 9969106267. The reversal of 9969106251 is 1526019699.

9969106251 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 9969106251 - 22 = 9969106247 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9969106251.

It is not an unprimeable number, because it can be changed into a prime (9969106291) 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, 166390 + ... + 218228.

It is an arithmetic number, because the mean of its divisors is an integer number (894862080).

Almost surely, 29969106251 is an apocalyptic number.

9969106251 is a deficient number, since it is larger than the sum of its proper divisors (4348687029).

9969106251 is a wasteful number, since it uses less digits than its factorization.

9969106251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56786.

The product of its (nonzero) digits is 262440, while the sum is 48.

The square root of 9969106251 is about 99845.4117673917. The cubic root of 9969106251 is about 2152.2137825690.

The spelling of 9969106251 in words is "nine billion, nine hundred sixty-nine million, one hundred six thousand, two hundred fifty-one".

Divisors: 1 3 13 39 4931 14793 51839 64103 155517 192309 673907 2021721 255618109 766854327 3323035417 9969106251