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9985984965 = 345112241523
BaseRepresentation
bin10010100110011011…
…00000100111000101
3221202221101121010000
421103031200213011
5130422403004330
64330522151513
7502314320535
oct112315404705
927687347100
109985984965
114264912340
121b28352599
13c31b21258
146aa3554c5
153d6a40560
hex2533609c5

9985984965 has 40 divisors (see below), whose sum is σ = 19528157088. Its totient is φ = 4841687520.

The previous prime is 9985984933. The next prime is 9985985017. The reversal of 9985984965 is 5694895899.

9985984965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9985984965 - 25 = 9985984933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9985984893 and 9985984902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1116307 + ... + 1125216.

Almost surely, 29985984965 is an apocalyptic number.

It is an amenable number.

9985984965 is a deficient number, since it is larger than the sum of its proper divisors (9542172123).

9985984965 is a wasteful number, since it uses less digits than its factorization.

9985984965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241551 (or 2241542 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 72.

The square root of 9985984965 is about 99929.9002551288. The cubic root of 9985984965 is about 2153.4277368830.

The spelling of 9985984965 in words is "nine billion, nine hundred eighty-five million, nine hundred eighty-four thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 2241523 6724569 11207615 20173707 24656753 33622845 60521121 73970259 100868535 123283765 181563363 221910777 302605605 369851295 665732331 907816815 1109553885 1997196993 3328661655 9985984965