Search a number
-
+
15263220157 is a prime number
BaseRepresentation
bin11100011011100001…
…00100000110111101
31110101201102220212021
432031300210012331
5222224341021112
611002315440141
71050144142063
oct161560440675
943351386767
1015263220157
116522765239
122b5b756051
131593239c23
14a4b182033
155e4eaa907
hex38dc241bd

15263220157 has 2 divisors, whose sum is σ = 15263220158. Its totient is φ = 15263220156.

The previous prime is 15263219987. The next prime is 15263220169. The reversal of 15263220157 is 75102236251.

15263220157 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., 8852175396 + 6411044761 = 94086^2 + 80069^2 .

It is a cyclic number.

It is not a de Polignac number, because 15263220157 - 227 = 15129002429 is a prime.

It is a super-2 number, since 2×152632201572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15263220457) 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, 7631610078 + 7631610079.

It is an arithmetic number, because the mean of its divisors is an integer number (7631610079).

Almost surely, 215263220157 is an apocalyptic number.

It is an amenable number.

15263220157 is a deficient number, since it is larger than the sum of its proper divisors (1).

15263220157 is an equidigital number, since it uses as much as digits as its factorization.

15263220157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 15263220157 in words is "fifteen billion, two hundred sixty-three million, two hundred twenty thousand, one hundred fifty-seven".