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82312628238 = 2328279475839
BaseRepresentation
bin100110010101000110…
…1110000100000001110
321212110111201202112200
41030222031300200032
52322034013100423
6101451445142330
75642532536661
oct1145215604016
9255414652480
1082312628238
11319aa372995
1213b523ba9a6
1379ba2abba9
143dabd736d8
15221b536d43
hex132a37080e

82312628238 has 48 divisors (see below), whose sum is σ = 178778845440. Its totient is φ = 27370739088.

The previous prime is 82312628171. The next prime is 82312628257. The reversal of 82312628238 is 83282621328.

It is a happy number.

82312628238 is a `hidden beast` number, since 8 + 2 + 3 + 12 + 628 + 2 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82312628193 and 82312628202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14094123 + ... + 14099961.

It is an arithmetic number, because the mean of its divisors is an integer number (3724559280).

Almost surely, 282312628238 is an apocalyptic number.

82312628238 is an abundant number, since it is smaller than the sum of its proper divisors (96466217202).

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

82312628238 is a wasteful number, since it uses less digits than its factorization.

82312628238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7618 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 82312628238 in words is "eighty-two billion, three hundred twelve million, six hundred twenty-eight thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 827 947 1654 1894 2481 2841 4962 5682 5839 7443 8523 11678 14886 17046 17517 35034 52551 105102 783169 1566338 2349507 4699014 4828853 5529533 7048521 9657706 11059066 14097042 14486559 16588599 28973118 33177198 43459677 49765797 86919354 99531594 4572923791 9145847582 13718771373 27437542746 41156314119 82312628238