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82590931221 = 353557932567
BaseRepresentation
bin100110011101011001…
…1011001100100010101
321220011220102000110120
41030322303121210111
52323121234244341
6101535230142153
75652452221641
oct1147263314425
9256156360416
1082590931221
1132032478057
121400b651959
137a32b51006
143dd6cd9c21
152235bac066
hex133acd9915

82590931221 has 16 divisors (see below), whose sum is σ = 112400555904. Its totient is φ = 53924696384.

The previous prime is 82590931201. The next prime is 82590931243. The reversal of 82590931221 is 12213909528.

It is a cyclic number.

It is not a de Polignac number, because 82590931221 - 225 = 82557376789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82590931201) by changing a digit.

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, 377721 + ... + 554846.

It is an arithmetic number, because the mean of its divisors is an integer number (7025034744).

Almost surely, 282590931221 is an apocalyptic number.

It is an amenable number.

82590931221 is a deficient number, since it is larger than the sum of its proper divisors (29809624683).

82590931221 is a wasteful number, since it uses less digits than its factorization.

82590931221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933180.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 82590931221 in words is "eighty-two billion, five hundred ninety million, nine hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 53 159 557 1671 29521 88563 932567 2797701 49426051 148278153 519439819 1558319457 27530310407 82590931221