Search a number
-
+
126607655966201 is a prime number
BaseRepresentation
bin11100110010011000100100…
…010111000001010111111001
3121121021120111020020000120122
4130302120210113001113321
5113043314434411404301
61125134430524103025
735445046512165464
oct3462304427012771
9547246436200518
10126607655966201
1137383007157953
12122494b3994a75
1355850875b2687
142339bb3c142db
15e9855064a81b
hex7326245c15f9

126607655966201 has 2 divisors, whose sum is σ = 126607655966202. Its totient is φ = 126607655966200.

The previous prime is 126607655966167. The next prime is 126607655966243. The reversal of 126607655966201 is 102669556706621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110623611986176 + 15984043980025 = 10517776^2 + 3998005^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126607655966201 is a prime.

It is not a weakly prime, because it can be changed into another prime (126607655966401) 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 as a sum of consecutive naturals, namely, 63303827983100 + 63303827983101.

It is an arithmetic number, because the mean of its divisors is an integer number (63303827983101).

Almost surely, 2126607655966201 is an apocalyptic number.

It is an amenable number.

126607655966201 is a deficient number, since it is larger than the sum of its proper divisors (1).

126607655966201 is an equidigital number, since it uses as much as digits as its factorization.

126607655966201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 126607655966201 in words is "one hundred twenty-six trillion, six hundred seven billion, six hundred fifty-five million, nine hundred sixty-six thousand, two hundred one".