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82993064271 = 3138325638883
BaseRepresentation
bin100110101001011000…
…1011010100101001111
321221012221002111022020
41031102301122211033
52324432211024041
6102043153221223
75665434256335
oct1152261324517
9257187074266
1082993064271
113221946a617
1214102261813
137a9825b470
144034497b55
15225b142866
hex1352c5a94f

82993064271 has 16 divisors (see below), whose sum is σ = 120605310336. Its totient is φ = 50457319776.

The previous prime is 82993064237. The next prime is 82993064281. The reversal of 82993064271 is 17246039928.

It is not a de Polignac number, because 82993064271 - 211 = 82993062223 is a prime.

It is a super-2 number, since 2×829930642712 (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 (82993064281) 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, 12816205 + ... + 12822678.

It is an arithmetic number, because the mean of its divisors is an integer number (7537831896).

Almost surely, 282993064271 is an apocalyptic number.

82993064271 is a deficient number, since it is larger than the sum of its proper divisors (37612246065).

82993064271 is a wasteful number, since it uses less digits than its factorization.

82993064271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638982.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 82993064271 in words is "eighty-two billion, nine hundred ninety-three million, sixty-four thousand, two hundred seventy-one".

Divisors: 1 3 13 39 83 249 1079 3237 25638883 76916649 333305479 999916437 2128027289 6384081867 27664354757 82993064271