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2166577601 is a prime number
BaseRepresentation
bin1000000100100011…
…0101100111000001
312120222210112201212
42001020311213001
513414120440401
6554553135505
7104455414526
oct20110654701
95528715655
102166577601
11a11a81901
125056ba595
13286b2b9a6
14167a5b14d
15ca318dbb
hex812359c1

2166577601 has 2 divisors, whose sum is σ = 2166577602. Its totient is φ = 2166577600.

The previous prime is 2166577573. The next prime is 2166577613. The reversal of 2166577601 is 1067756612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1670847376 + 495730225 = 40876^2 + 22265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2166577601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166579601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083288800 + 1083288801.

It is an arithmetic number, because the mean of its divisors is an integer number (1083288801).

Almost surely, 22166577601 is an apocalyptic number.

It is an amenable number.

2166577601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166577601 is an equidigital number, since it uses as much as digits as its factorization.

2166577601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 2166577601 is about 46546.5100840009. The cubic root of 2166577601 is about 1293.9716150935.

The spelling of 2166577601 in words is "two billion, one hundred sixty-six million, five hundred seventy-seven thousand, six hundred one".