Search a number
-
+
57356573503037 is a prime number
BaseRepresentation
bin11010000101010010111100…
…01100000110111000111101
321112002020100020001222211112
431002221132030012320331
530004212230304044122
6321553125054331405
715036606234435434
oct1502513614067075
9245066306058745
1057356573503037
1117303871506916
1265241084b9b65
132600917764b93
14102410432c11b
15696e995322e2
hex342a5e306e3d

57356573503037 has 2 divisors, whose sum is σ = 57356573503038. Its totient is φ = 57356573503036.

The previous prime is 57356573502997. The next prime is 57356573503171. The reversal of 57356573503037 is 73030537565375.

It is a happy number.

57356573503037 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., 56273837524921 + 1082735978116 = 7501589^2 + 1040546^2 .

It is a cyclic number.

It is not a de Polignac number, because 57356573503037 - 234 = 57339393633853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57356573508037) 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, 28678286751518 + 28678286751519.

It is an arithmetic number, because the mean of its divisors is an integer number (28678286751519).

Almost surely, 257356573503037 is an apocalyptic number.

It is an amenable number.

57356573503037 is a deficient number, since it is larger than the sum of its proper divisors (1).

57356573503037 is an equidigital number, since it uses as much as digits as its factorization.

57356573503037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104186250, while the sum is 59.

The spelling of 57356573503037 in words is "fifty-seven trillion, three hundred fifty-six billion, five hundred seventy-three million, five hundred three thousand, thirty-seven".