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12604126920641 = 296730631211777
BaseRepresentation
bin1011011101101010000010…
…0000011111111111000001
31122121221110021110110010022
42313122200200133333001
53123001222442430031
642450131142343225
72440422005061104
oct267324040377701
948557407413108
1012604126920641
11401a42006aa13
1214b692072ab15
13705744349769
14318085db473b
1516cce023497b
hexb76a081ffc1

12604126920641 has 16 divisors (see below), whose sum is σ = 13233854739840. Its totient is φ = 11987419530240.

The previous prime is 12604126920631. The next prime is 12604126920733. The reversal of 12604126920641 is 14602962140621.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12604126920641 - 222 = 12604122726337 is a prime.

It is a super-2 number, since 2×126041269206412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12604126920592 and 12604126920601.

It is not an unprimeable number, because it can be changed into a prime (12604126920631) 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 in 15 ways as a sum of consecutive naturals, for example, 59410145 + ... + 59621921.

It is an arithmetic number, because the mean of its divisors is an integer number (827115921240).

Almost surely, 212604126920641 is an apocalyptic number.

It is an amenable number.

12604126920641 is a deficient number, since it is larger than the sum of its proper divisors (629727819199).

12604126920641 is a wasteful number, since it uses less digits than its factorization.

12604126920641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242504.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 12604126920641 in words is "twelve trillion, six hundred four billion, one hundred twenty-six million, nine hundred twenty thousand, six hundred forty-one".

Divisors: 1 29 67 1943 30631 211777 888299 2052277 6141533 14189059 59516033 411482711 6486941287 188121297323 434625066229 12604126920641