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82640460204677 is a prime number
BaseRepresentation
bin10010110010100100111011…
…010001100100101010000101
3101211121100110202120021201102
4102302210323101210222011
541312440130303022202
6451432300414305445
723256401433415004
oct2262447321445205
9354540422507642
1082640460204677
1124371693398101
129328336ab8285
133715c67566aab
141659b6904cc3b
15984a04872d02
hex4b293b464a85

82640460204677 has 2 divisors, whose sum is σ = 82640460204678. Its totient is φ = 82640460204676.

The previous prime is 82640460204593. The next prime is 82640460204691. The reversal of 82640460204677 is 77640206404628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63462796053316 + 19177664151361 = 7966354^2 + 4379231^2 .

It is a cyclic number.

It is not a de Polignac number, because 82640460204677 - 222 = 82640456010373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82640460204877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41320230102338 + 41320230102339.

It is an arithmetic number, because the mean of its divisors is an integer number (41320230102339).

Almost surely, 282640460204677 is an apocalyptic number.

It is an amenable number.

82640460204677 is a deficient number, since it is larger than the sum of its proper divisors (1).

82640460204677 is an equidigital number, since it uses as much as digits as its factorization.

82640460204677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 82640460204677 in words is "eighty-two trillion, six hundred forty billion, four hundred sixty million, two hundred four thousand, six hundred seventy-seven".