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82390009328 = 2411242556823
BaseRepresentation
bin100110010111011010…
…0111100010111110000
321212122220100010102222
41030232310330113300
52322213320244303
6101503251500212
75644462344554
oct1145664742760
9255586303388
1082390009328
1131a3a015500
1213b742b7668
137a00333213
143db8357864
15222321e938
hex132ed3c5f0

82390009328 has 30 divisors (see below), whose sum is σ = 175461785352. Its totient is φ = 37450003360.

The previous prime is 82390009327. The next prime is 82390009349.

82390009328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823900093282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82390009321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21276476 + ... + 21280347.

Almost surely, 282390009328 is an apocalyptic number.

82390009328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82390009328 is an abundant number, since it is smaller than the sum of its proper divisors (93071776024).

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

82390009328 is a wasteful number, since it uses less digits than its factorization.

82390009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42556853 (or 42556836 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 82390009328 in words is "eighty-two billion, three hundred ninety million, nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 42556823 85113646 170227292 340454584 468125053 680909168 936250106 1872500212 3745000424 5149375583 7490000848 10298751166 20597502332 41195004664 82390009328