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82163730831 = 3713449670303
BaseRepresentation
bin100110010000101010…
…1110000100110001111
321212002010112222200220
41030201111300212033
52321232403341311
6101425005522423
75636044121520
oct1144125604617
9255063488626
1082163730831
1131933314086
1213b10573413
1379954a7b10
143d96294847
15220d424206
hex132157098f

82163730831 has 32 divisors (see below), whose sum is σ = 135133286400. Its totient is φ = 43242522624.

The previous prime is 82163730821. The next prime is 82163730833. The reversal of 82163730831 is 13803736128.

It is not a de Polignac number, because 82163730831 - 227 = 82029513103 is a prime.

It is a super-2 number, since 2×821637308312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163730833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212575 + ... + 457728.

It is an arithmetic number, because the mean of its divisors is an integer number (4222915200).

Almost surely, 282163730831 is an apocalyptic number.

82163730831 is a deficient number, since it is larger than the sum of its proper divisors (52969555569).

82163730831 is a wasteful number, since it uses less digits than its factorization.

82163730831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670775.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 82163730831 in words is "eighty-two billion, one hundred sixty-three million, seven hundred thirty thousand, eight hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 449 1347 3143 5837 9429 17511 40859 122577 670303 2010909 4692121 8713939 14076363 26141817 60997573 182992719 300966047 902898141 2106762329 3912558611 6320286987 11737675833 27387910277 82163730831