Search a number
-
+
90457537153 is a prime number
BaseRepresentation
bin101010000111110110…
…0000111101010000001
322122111010211000002211
41110033230013222001
52440224112142103
6105320002542121
76351423244054
oct1241754075201
9278433730084
1090457537153
11353a9a15575
1215646067941
1386b785a819
14454199ca9b
15254660836d
hex150fb07a81

90457537153 has 2 divisors, whose sum is σ = 90457537154. Its totient is φ = 90457537152.

The previous prime is 90457537127. The next prime is 90457537169. The reversal of 90457537153 is 35173575409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52016837184 + 38440699969 = 228072^2 + 196063^2 .

It is a cyclic number.

It is not a de Polignac number, because 90457537153 - 213 = 90457528961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90457537097 and 90457537106.

It is not a weakly prime, because it can be changed into another prime (90457537123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45228768576 + 45228768577.

It is an arithmetic number, because the mean of its divisors is an integer number (45228768577).

Almost surely, 290457537153 is an apocalyptic number.

It is an amenable number.

90457537153 is a deficient number, since it is larger than the sum of its proper divisors (1).

90457537153 is an equidigital number, since it uses as much as digits as its factorization.

90457537153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1984500, while the sum is 49.

The spelling of 90457537153 in words is "ninety billion, four hundred fifty-seven million, five hundred thirty-seven thousand, one hundred fifty-three".