Search a number
-
+
155657105677 is a prime number
BaseRepresentation
bin1001000011110111100…
…0101111000100001101
3112212210000022020222001
42100331320233010031
510022241204340202
6155301411552301
714150220365503
oct2207570570415
9485700266861
10155657105677
11600174183a7
12262012bb691
13118a85ac378
147768c22673
1540b0583d87
hex243de2f10d

155657105677 has 2 divisors, whose sum is σ = 155657105678. Its totient is φ = 155657105676.

The previous prime is 155657105657. The next prime is 155657105683. The reversal of 155657105677 is 776501756551.

155657105677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147687258601 + 7969847076 = 384301^2 + 89274^2 .

It is a cyclic number.

It is not a de Polignac number, because 155657105677 - 235 = 121297367309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (155657105647) 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, 77828552838 + 77828552839.

It is an arithmetic number, because the mean of its divisors is an integer number (77828552839).

Almost surely, 2155657105677 is an apocalyptic number.

It is an amenable number.

155657105677 is a deficient number, since it is larger than the sum of its proper divisors (1).

155657105677 is an equidigital number, since it uses as much as digits as its factorization.

155657105677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7717500, while the sum is 55.

The spelling of 155657105677 in words is "one hundred fifty-five billion, six hundred fifty-seven million, one hundred five thousand, six hundred seventy-seven".