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823799681 is a prime number
BaseRepresentation
bin110001000110100…
…010111110000001
32010102010100201022
4301012202332001
53141343042211
6213424515225
726262116225
oct6106427601
92112110638
10823799681
11393016991
121aba7bb15
13101896943
147b5a2785
154c4c8bdb
hex311a2f81

823799681 has 2 divisors, whose sum is σ = 823799682. Its totient is φ = 823799680.

The previous prime is 823799659. The next prime is 823799729. The reversal of 823799681 is 186997328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 491065600 + 332734081 = 22160^2 + 18241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-823799681 is a prime.

It is a super-2 number, since 2×8237996812 = 1357291828831403522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (823799381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411899840 + 411899841.

It is an arithmetic number, because the mean of its divisors is an integer number (411899841).

Almost surely, 2823799681 is an apocalyptic number.

It is an amenable number.

823799681 is a deficient number, since it is larger than the sum of its proper divisors (1).

823799681 is an equidigital number, since it uses as much as digits as its factorization.

823799681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1306368, while the sum is 53.

The square root of 823799681 is about 28701.9107552093. The cubic root of 823799681 is about 937.4336520987.

The spelling of 823799681 in words is "eight hundred twenty-three million, seven hundred ninety-nine thousand, six hundred eighty-one".