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82524000034 = 272842081633
BaseRepresentation
bin100110011011011010…
…0000100111100100010
321220000020110120010201
41030312310010330202
52323002121000114
6101524435415414
75651010266200
oct1146664047442
9256006416121
1082524000034
1131aa8712723
1213bb115456a
137a22018268
143dcc076070
15222ed8a874
hex1336d04f22

82524000034 has 12 divisors (see below), whose sum is σ = 143995959414. Its totient is φ = 35367428544.

The previous prime is 82524000019. The next prime is 82524000043. The reversal of 82524000034 is 43000042528.

It can be written as a sum of positive squares in only one way, i.e., 49616226009 + 32907774025 = 222747^2 + 181405^2 .

It is a super-2 number, since 2×825240000342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82523999966 and 82524000011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421040719 + ... + 421040914.

Almost surely, 282524000034 is an apocalyptic number.

82524000034 is a deficient number, since it is larger than the sum of its proper divisors (61471959380).

82524000034 is a wasteful number, since it uses less digits than its factorization.

82524000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842081649 (or 842081642 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 82524000034 in words is "eighty-two billion, five hundred twenty-four million, thirty-four", and thus it is an aban number.

Divisors: 1 2 7 14 49 98 842081633 1684163266 5894571431 11789142862 41262000017 82524000034