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104777674657 is a prime number
BaseRepresentation
bin110000110010100111…
…1000110111110100001
3101000110010200100202221
41201211033012332201
53204041041042112
6120044553111041
710366326353065
oct1414517067641
9330403610687
10104777674657
11404882a1857
12183819b8481
139b5a598376
1450dd7abaa5
152ad38c6e07
hex18653c6fa1

104777674657 has 2 divisors, whose sum is σ = 104777674658. Its totient is φ = 104777674656.

The previous prime is 104777674649. The next prime is 104777674711. The reversal of 104777674657 is 756476777401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71268175521 + 33509499136 = 266961^2 + 183056^2 .

It is a cyclic number.

It is not a de Polignac number, because 104777674657 - 23 = 104777674649 is a prime.

It is a super-2 number, since 2×1047776746572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104777674595 and 104777674604.

It is not a weakly prime, because it can be changed into another prime (104777678657) 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, 52388837328 + 52388837329.

It is an arithmetic number, because the mean of its divisors is an integer number (52388837329).

Almost surely, 2104777674657 is an apocalyptic number.

It is an amenable number.

104777674657 is a deficient number, since it is larger than the sum of its proper divisors (1).

104777674657 is an equidigital number, since it uses as much as digits as its factorization.

104777674657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48404160, while the sum is 61.

The spelling of 104777674657 in words is "one hundred four billion, seven hundred seventy-seven million, six hundred seventy-four thousand, six hundred fifty-seven".