Search a number
-
+
32680101797657 is a prime number
BaseRepresentation
bin1110110111000111011011…
…10110111101111100011001
311021201012001111001121001222
413123203231312331330121
513240412322030011112
6153301010450021425
76612026246654126
oct733435566757431
9137635044047058
1032680101797657
11a45a60a550606
1237b9757b77875
131530949888712
1480da2259774d
153ba140000372
hex1db8eddbdf19

32680101797657 has 2 divisors, whose sum is σ = 32680101797658. Its totient is φ = 32680101797656.

The previous prime is 32680101797653. The next prime is 32680101797659. The reversal of 32680101797657 is 75679710108623.

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., 32679789957376 + 311840281 = 5716624^2 + 17659^2 .

It is a cyclic number.

It is not a de Polignac number, because 32680101797657 - 22 = 32680101797653 is a prime.

Together with 32680101797659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32680101797657.

It is not a weakly prime, because it can be changed into another prime (32680101797653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16340050898828 + 16340050898829.

It is an arithmetic number, because the mean of its divisors is an integer number (16340050898829).

Almost surely, 232680101797657 is an apocalyptic number.

It is an amenable number.

32680101797657 is a deficient number, since it is larger than the sum of its proper divisors (1).

32680101797657 is an equidigital number, since it uses as much as digits as its factorization.

32680101797657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26671680, while the sum is 62.

The spelling of 32680101797657 in words is "thirty-two trillion, six hundred eighty billion, one hundred one million, seven hundred ninety-seven thousand, six hundred fifty-seven".