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82440000857 is a prime number
BaseRepresentation
bin100110011000111001…
…1101001010101011001
321212210101101221221002
41030301303221111121
52322314120011412
6101512235154345
75645640305504
oct1146163512531
9255711357832
1082440000857
1131a6525a915
1213b88ba59b5
137a0a7b77c6
143dc0c4c13b
1522277e6dc2
hex1331ce9559

82440000857 has 2 divisors, whose sum is σ = 82440000858. Its totient is φ = 82440000856.

The previous prime is 82440000833. The next prime is 82440000911. The reversal of 82440000857 is 75800004428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79608058201 + 2831942656 = 282149^2 + 53216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82440000857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82440000857.

It is not a weakly prime, because it can be changed into another prime (82440000827) 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 as a sum of consecutive naturals, namely, 41220000428 + 41220000429.

It is an arithmetic number, because the mean of its divisors is an integer number (41220000429).

Almost surely, 282440000857 is an apocalyptic number.

It is an amenable number.

82440000857 is a deficient number, since it is larger than the sum of its proper divisors (1).

82440000857 is an equidigital number, since it uses as much as digits as its factorization.

82440000857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 82440000857 in words is "eighty-two billion, four hundred forty million, eight hundred fifty-seven", and thus it is an aban number.