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332328383814096 = 24323174446322539
BaseRepresentation
bin100101110010000000011101…
…1010001000001100111010000
31121120200021122110120101011100
41023210000323101001213100
5322024332012224022341
63134445315113144400
7126666635104063425
oct11344007321014720
91546607573511140
10332328383814096
119698774897525a
12313335733bb100
13113585804b9ca7
145c0cacb313d4c
152864955aa33b6
hex12e403b4419d0

332328383814096 has 60 divisors (see below), whose sum is σ = 960059775475840. Its totient is φ = 107202704454720.

The previous prime is 332328383814071. The next prime is 332328383814109. The reversal of 332328383814096 is 690418383823233.

It is a happy number.

332328383814096 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 28 + 383 + 8 + 140 + 96 = 666.

It is a super-2 number, since 2×3323283838140962 (a number of 30 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 37223156806 + ... + 37223165733.

Almost surely, 2332328383814096 is an apocalyptic number.

332328383814096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

332328383814096 is an abundant number, since it is smaller than the sum of its proper divisors (627731391661744).

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

332328383814096 is a wasteful number, since it uses less digits than its factorization.

332328383814096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74446322584 (or 74446322575 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 332328383814096 in words is "three hundred thirty-two trillion, three hundred twenty-eight billion, three hundred eighty-three million, eight hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 74446322539 148892645078 223338967617 297785290156 446677935234 595570580312 670016902851 893355870468 1191141160624 1340033805702 1786711740936 2307835998709 2680067611404 3573423481872 4615671997418 5360135222808 6923507996127 9231343994836 10720270445616 13847015992254 18462687989672 20770523988381 27694031984508 36925375979344 41541047976762 55388063969016 83082095953524 110776127938032 166164191907048 332328383814096