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83128838524357 is a prime number
BaseRepresentation
bin10010111001101011110000…
…111001000000110111000101
3101220100001001200112110122111
4102321223300321000313011
541343440330130234412
6452444510004501021
723336601053554423
oct2271536071006705
9356301050473574
1083128838524357
112453a81920111a
1293a6b139aa771
133750028a40442
1416756589b4113
1599258a0652a7
hex4b9af0e40dc5

83128838524357 has 2 divisors, whose sum is σ = 83128838524358. Its totient is φ = 83128838524356.

The previous prime is 83128838524309. The next prime is 83128838524441. The reversal of 83128838524357 is 75342583882138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64055275930116 + 19073562594241 = 8003454^2 + 4367329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83128838524357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83128838524292 and 83128838524301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83128838524757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41564419262178 + 41564419262179.

It is an arithmetic number, because the mean of its divisors is an integer number (41564419262179).

Almost surely, 283128838524357 is an apocalyptic number.

It is an amenable number.

83128838524357 is a deficient number, since it is larger than the sum of its proper divisors (1).

83128838524357 is an equidigital number, since it uses as much as digits as its factorization.

83128838524357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 309657600, while the sum is 67.

The spelling of 83128838524357 in words is "eighty-three trillion, one hundred twenty-eight billion, eight hundred thirty-eight million, five hundred twenty-four thousand, three hundred fifty-seven".