Search a number
-
+
42170115505961 is a prime number
BaseRepresentation
bin10011001011010011111101…
…10000010011111100101001
312112022102102212002221210102
421211221332300103330221
521011403344032142321
6225404403354555145
711611455526353032
oct1145517660237451
9175272385087712
1042170115505961
11124892779153a3
124890a26438ab5
131a6b817998421
14a5b08a0aba89
154d1e1c75dc0b
hex265a7ec13f29

42170115505961 has 2 divisors, whose sum is σ = 42170115505962. Its totient is φ = 42170115505960.

The previous prime is 42170115505883. The next prime is 42170115505967. The reversal of 42170115505961 is 16950551107124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26664634215961 + 15505481290000 = 5163781^2 + 3937700^2 .

It is a cyclic number.

It is not a de Polignac number, because 42170115505961 - 226 = 42170048397097 is a prime.

It is not a weakly prime, because it can be changed into another prime (42170115505967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21085057752980 + 21085057752981.

It is an arithmetic number, because the mean of its divisors is an integer number (21085057752981).

Almost surely, 242170115505961 is an apocalyptic number.

It is an amenable number.

42170115505961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42170115505961 is an equidigital number, since it uses as much as digits as its factorization.

42170115505961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 47.

The spelling of 42170115505961 in words is "forty-two trillion, one hundred seventy billion, one hundred fifteen million, five hundred five thousand, nine hundred sixty-one".