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2630775400993 is a prime number
BaseRepresentation
bin100110010010000110011…
…011101110101000100001
3100022111111021001021000201
4212102012123232220201
5321100312000312433
65332321142545201
7361032031643155
oct46220633565041
910274437037021
102630775400993
11924784147683
12365a41438201
1316110910600c
149148a143065
1548674a8ca7d
hex264866eea21

2630775400993 has 2 divisors, whose sum is σ = 2630775400994. Its totient is φ = 2630775400992.

The previous prime is 2630775400991. The next prime is 2630775401017. The reversal of 2630775400993 is 3990045770362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2496678087744 + 134097313249 = 1580088^2 + 366193^2 .

It is a cyclic number.

It is not a de Polignac number, because 2630775400993 - 21 = 2630775400991 is a prime.

Together with 2630775400991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2630775400991) 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, 1315387700496 + 1315387700497.

It is an arithmetic number, because the mean of its divisors is an integer number (1315387700497).

Almost surely, 22630775400993 is an apocalyptic number.

It is an amenable number.

2630775400993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2630775400993 is an equidigital number, since it uses as much as digits as its factorization.

2630775400993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8573040, while the sum is 55.

The spelling of 2630775400993 in words is "two trillion, six hundred thirty billion, seven hundred seventy-five million, four hundred thousand, nine hundred ninety-three".