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9982109496 = 2331928337727
BaseRepresentation
bin10010100101111101…
…01110011100111000
3221202200002200222010
421102332232130320
5130420410000441
64330303125520
7502236350022
oct112276563470
927680080863
109982109496
114262705677
121b26ba38a0
13c31095288
146a9a27012
153d6527116
hex252fae738

9982109496 has 64 divisors (see below), whose sum is σ = 26281382400. Its totient is φ = 3150724608.

The previous prime is 9982109447. The next prime is 9982109509. The reversal of 9982109496 is 6949012899.

It is a super-3 number, since 3×99821094963 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287985 + ... + 1295711.

It is an arithmetic number, because the mean of its divisors is an integer number (410646600).

Almost surely, 29982109496 is an apocalyptic number.

It is an amenable number.

9982109496 is an abundant number, since it is smaller than the sum of its proper divisors (16299272904).

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

9982109496 is a wasteful number, since it uses less digits than its factorization.

9982109496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The square root of 9982109496 is about 99910.5074354044. The cubic root of 9982109496 is about 2153.1491256657.

The spelling of 9982109496 in words is "nine billion, nine hundred eighty-two million, one hundred nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 2833 5666 7727 8499 11332 15454 16998 22664 23181 30908 33996 46362 53827 61816 67992 92724 107654 146813 161481 185448 215308 293626 322962 430616 440439 587252 645924 880878 1174504 1291848 1761756 3523512 21890591 43781182 65671773 87562364 131343546 175124728 262687092 415921229 525374184 831842458 1247763687 1663684916 2495527374 3327369832 4991054748 9982109496