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82245966156 = 22322399330877
BaseRepresentation
bin100110010011000111…
…1011101100101001100
321212021212021222100200
41030212033131211030
52321414431404111
6101441104253500
75641063114614
oct1144617354514
9255255258320
1082245966156
1131975781762
1213b34011290
1379a953b783
143da317da44
15221576a256
hex13263dd94c

82245966156 has 36 divisors (see below), whose sum is σ = 216938637552. Its totient is φ = 26223351264.

The previous prime is 82245966137. The next prime is 82245966167. The reversal of 82245966156 is 65166954228.

82245966156 is a `hidden beast` number, since 82 + 2 + 459 + 6 + 61 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 49664611 + ... + 49666266.

Almost surely, 282245966156 is an apocalyptic number.

It is an amenable number.

82245966156 is an abundant number, since it is smaller than the sum of its proper divisors (134692671396).

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

82245966156 is a wasteful number, since it uses less digits than its factorization.

82245966156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99330910 (or 99330905 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

It can be divided in two parts, 82245 and 966156, that added together give a palindrome (1048401).

The spelling of 82245966156 in words is "eighty-two billion, two hundred forty-five million, nine hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 99330877 198661754 297992631 397323508 595985262 893977893 1191970524 1787955786 2284610171 3575911572 4569220342 6853830513 9138440684 13707661026 20561491539 27415322052 41122983078 82245966156