Search a number
-
+
42045653957 is a prime number
BaseRepresentation
bin100111001010000111…
…011100001111000101
311000112020022112011212
4213022013130033011
51142102141411312
631152052141205
73015634106336
oct471207341705
9130466275155
1042045653957
111691674814a
128195007805
133c70b22aa8
14206c14c28d
1511613b6822
hex9ca1dc3c5

42045653957 has 2 divisors, whose sum is σ = 42045653958. Its totient is φ = 42045653956.

The previous prime is 42045653933. The next prime is 42045654029. The reversal of 42045653957 is 75935654024.

42045653957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41995895041 + 49758916 = 204929^2 + 7054^2 .

It is a cyclic number.

It is not a de Polignac number, because 42045653957 - 220 = 42044605381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42045655957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21022826978 + 21022826979.

It is an arithmetic number, because the mean of its divisors is an integer number (21022826979).

Almost surely, 242045653957 is an apocalyptic number.

It is an amenable number.

42045653957 is a deficient number, since it is larger than the sum of its proper divisors (1).

42045653957 is an equidigital number, since it uses as much as digits as its factorization.

42045653957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536000, while the sum is 50.

The spelling of 42045653957 in words is "forty-two billion, forty-five million, six hundred fifty-three thousand, nine hundred fifty-seven".