Search a number
-
+
2256153342557 is a prime number
BaseRepresentation
bin100000110101001101001…
…101111111001001011101
321222200112012112220012112
4200311031031333021131
5243431100223430212
64444243524043405
7322000403664032
oct40651515771135
97880465486175
102256153342557
1179a913820404
12305311233565
131349a63bb45a
147b2ac5c9389
153da4b11e422
hex20d4d37f25d

2256153342557 has 2 divisors, whose sum is σ = 2256153342558. Its totient is φ = 2256153342556.

The previous prime is 2256153342539. The next prime is 2256153342559. The reversal of 2256153342557 is 7552433516522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1677061260196 + 579092082361 = 1295014^2 + 760981^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256153342557 - 28 = 2256153342301 is a prime.

It is a super-2 number, since 2×22561533425572 (a number of 26 digits) contains 22 as substring.

Together with 2256153342559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2256153342559) 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, 1128076671278 + 1128076671279.

It is an arithmetic number, because the mean of its divisors is an integer number (1128076671279).

Almost surely, 22256153342557 is an apocalyptic number.

It is an amenable number.

2256153342557 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256153342557 is an equidigital number, since it uses as much as digits as its factorization.

2256153342557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560000, while the sum is 50.

The spelling of 2256153342557 in words is "two trillion, two hundred fifty-six billion, one hundred fifty-three million, three hundred forty-two thousand, five hundred fifty-seven".