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82966806631 = 31101103367701
BaseRepresentation
bin100110101000100110…
…1010000000001100111
321221011002200110121001
41031101031100001213
52324404000303011
6102040414334131
75664665135422
oct1152115200147
9257132613531
1082966806631
1132205665895
12140b54ba347
137a929969b7
144030bc09b9
152258ba77c1
hex1351350067

82966806631 has 32 divisors (see below), whose sum is σ = 87693705216. Its totient is φ = 78397200000.

The previous prime is 82966806619. The next prime is 82966806653. The reversal of 82966806631 is 13660866928.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82966806631 - 217 = 82966675559 is a prime.

It is a super-2 number, since 2×829668066312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82966806031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118354581 + ... + 118355281.

It is an arithmetic number, because the mean of its divisors is an integer number (2740428288).

Almost surely, 282966806631 is an apocalyptic number.

82966806631 is a deficient number, since it is larger than the sum of its proper divisors (4726898585).

82966806631 is a wasteful number, since it uses less digits than its factorization.

82966806631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 82966806631 in words is "eighty-two billion, nine hundred sixty-six million, eight hundred six thousand, six hundred thirty-one".

Divisors: 1 31 101 103 367 701 3131 3193 10403 11377 21731 37067 37801 70801 72203 257267 322493 1149077 1171831 2194831 2238293 3817901 7292503 7975277 25983967 26498501 118354931 226067593 805502977 821453531 2676348601 82966806631