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82993662231 = 3232295779103
BaseRepresentation
bin100110101001011001…
…1101100100100010111
321221012222012212112220
41031102303230210113
52324432334142411
6102043214113423
75665442326554
oct1152263544427
9257188185486
1082993662231
11322198388a7
12141024ab873
137a9840a69c
1440345b1a2b
15225b20eb06
hex1352cec917

82993662231 has 32 divisors (see below), whose sum is σ = 116187432960. Its totient is φ = 52595288064.

The previous prime is 82993662229. The next prime is 82993662239. The reversal of 82993662231 is 13226639928.

It is a happy number.

It is not a de Polignac number, because 82993662231 - 21 = 82993662229 is a prime.

It is a super-2 number, since 2×829936622312 (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 (82993662239) 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 31 ways as a sum of consecutive naturals, for example, 9112626 + ... + 9121728.

It is an arithmetic number, because the mean of its divisors is an integer number (3630857280).

Almost surely, 282993662231 is an apocalyptic number.

82993662231 is a deficient number, since it is larger than the sum of its proper divisors (33193770729).

82993662231 is a wasteful number, since it uses less digits than its factorization.

82993662231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935.

The product of its digits is 1679616, while the sum is 51.

The spelling of 82993662231 in words is "eighty-two billion, nine hundred ninety-three million, six hundred sixty-two thousand, two hundred thirty-one".

Divisors: 1 3 23 69 229 577 687 1731 5267 9103 13271 15801 27309 39813 132133 209369 396399 628107 2084587 3039059 5252431 6253761 9117177 15757293 47945501 120805913 143836503 362417739 1202806699 3608420097 27664554077 82993662231