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9916426971 = 3311193156687
BaseRepresentation
bin10010011110001000…
…01010101011011011
3221121002111200111000
421033010022223123
5130302101130341
64315555240043
7500511144543
oct111704125333
927532450430
109916426971
1142296233a0
121b08ba9023
13c205a8989
146a100a323
153d08a08b6
hex24f10aadb

9916426971 has 64 divisors (see below), whose sum is σ = 17414553600. Its totient is φ = 5509879200.

The previous prime is 9916426969. The next prime is 9916426981. The reversal of 9916426971 is 1796246199.

It is a happy number.

9916426971 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 9916426971 - 21 = 9916426969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9916426981) 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 63 ways as a sum of consecutive naturals, for example, 146590 + ... + 203276.

It is an arithmetic number, because the mean of its divisors is an integer number (272102400).

Almost surely, 29916426971 is an apocalyptic number.

9916426971 is a deficient number, since it is larger than the sum of its proper divisors (7498126629).

9916426971 is a wasteful number, since it uses less digits than its factorization.

9916426971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56757 (or 56751 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9916426971 is about 99581.2581312367. The cubic root of 9916426971 is about 2148.4161380482.

The spelling of 9916426971 in words is "nine billion, nine hundred sixteen million, four hundred twenty-six thousand, nine hundred seventy-one".

Divisors: 1 3 9 11 19 27 31 33 57 93 99 171 209 279 297 341 513 589 627 837 1023 1767 1881 3069 5301 5643 6479 9207 15903 19437 56687 58311 170061 174933 510183 623557 1077053 1530549 1757297 1870671 3231159 5271891 5612013 9693477 11847583 15815673 16836039 19330267 29080431 33388643 35542749 47447019 57990801 100165929 106628247 173972403 300497787 319884741 367275073 521917209 901493361 1101825219 3305475657 9916426971