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82385824432 = 244110110711621
BaseRepresentation
bin100110010111010010…
…0111110101010110000
321212122121110111211211
41030232210332222300
52322211232340212
6101503022045504
75644411644652
oct1145644765260
9255577414754
1082385824432
1131a3771730a
1213b72a19894
1379cc4c9452
143db79886d2
152222b949a7
hex132e93eab0

82385824432 has 80 divisors (see below), whose sum is σ = 166692393504. Its totient is φ = 39415040000.

The previous prime is 82385824427. The next prime is 82385824453. The reversal of 82385824432 is 23442858328.

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, 7083582 + ... + 7095202.

Almost surely, 282385824432 is an apocalyptic number.

82385824432 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82385824432 is an abundant number, since it is smaller than the sum of its proper divisors (84306569072).

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

82385824432 is a wasteful number, since it uses less digits than its factorization.

82385824432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878 (or 11872 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 49.

The spelling of 82385824432 in words is "eighty-two billion, three hundred eighty-five million, eight hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 41 82 101 107 164 202 214 328 404 428 656 808 856 1616 1712 4141 4387 8282 8774 10807 11621 16564 17548 21614 23242 33128 35096 43228 46484 66256 70192 86456 92968 172912 185936 443087 476461 886174 952922 1173721 1243447 1772348 1905844 2347442 2486894 3544696 3811688 4694884 4973788 7089392 7623376 9389768 9947576 18779536 19895152 48122561 50981327 96245122 101962654 125588147 192490244 203925308 251176294 384980488 407850616 502352588 769960976 815701232 1004705176 2009410352 5149114027 10298228054 20596456108 41192912216 82385824432