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264441131152157 is a prime number
BaseRepresentation
bin111100001000000111111111…
…101011111011001100011101
31021200022022210002210200000102
4330020013333223323030131
5234130100414033332112
62334230324545310445
7106462145514352031
oct7410077753731435
91250268702720012
10264441131152157
1177293943629853
12257aa567935425
13b4728cb79388b
14494303a3581c1
152088ac2468bc2
hexf081ffafb31d

264441131152157 has 2 divisors, whose sum is σ = 264441131152158. Its totient is φ = 264441131152156.

The previous prime is 264441131152127. The next prime is 264441131152229. The reversal of 264441131152157 is 751251131144462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163417846683001 + 101023284469156 = 12783499^2 + 10051034^2 .

It is a cyclic number.

It is not a de Polignac number, because 264441131152157 - 240 = 263341619524381 is a prime.

It is a super-2 number, since 2×2644411311521572 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264441131152127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132220565576078 + 132220565576079.

It is an arithmetic number, because the mean of its divisors is an integer number (132220565576079).

Almost surely, 2264441131152157 is an apocalyptic number.

It is an amenable number.

264441131152157 is a deficient number, since it is larger than the sum of its proper divisors (1).

264441131152157 is an equidigital number, since it uses as much as digits as its factorization.

264441131152157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 806400, while the sum is 47.

The spelling of 264441131152157 in words is "two hundred sixty-four trillion, four hundred forty-one billion, one hundred thirty-one million, one hundred fifty-two thousand, one hundred fifty-seven".