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9999000084 = 22316717892789
BaseRepresentation
bin10010100111111110…
…01010001000010100
3221210211212211111110
421103333022020110
5130434221000314
64332105135020
7502533045513
oct112377121024
927724784443
109999000084
1142711a1837
121b3078a470
13c3472a2c8
146abd8267a
153d7c61a59
hex253fca214

9999000084 has 48 divisors (see below), whose sum is σ = 23492246400. Its totient is φ = 3310002816.

The previous prime is 9999000083. The next prime is 9999000119. The reversal of 9999000084 is 4800009999.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9998999997 and 9999000042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999000083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583762 + ... + 3586550.

It is an arithmetic number, because the mean of its divisors is an integer number (489421800).

Almost surely, 29999000084 is an apocalyptic number.

It is an amenable number.

9999000084 is an abundant number, since it is smaller than the sum of its proper divisors (13493246316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9999000084 is a wasteful number, since it uses less digits than its factorization.

9999000084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 9999000084 is about 99995.0002950148. Note that the first 3 decimals coincide. The cubic root of 9999000084 is about 2154.3628791811.

The spelling of 9999000084 in words is "nine billion, nine hundred ninety-nine million, eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 1789 2004 2789 3578 5367 5578 7156 8367 10734 11156 16734 21468 33468 298763 465763 597526 896289 931526 1195052 1397289 1792578 1863052 2794578 3585156 4989521 5589156 9979042 14968563 19958084 29937126 59874252 833250007 1666500014 2499750021 3333000028 4999500042 9999000084