Search a number
-
+
27755826255107 is a prime number
BaseRepresentation
bin1100100111110011010000…
…01010100001010100000011
310122021102122020212110212222
412103321220022201110003
512114222413010130412
6135010503415241255
75563202151322646
oct623715012412403
9118242566773788
1027755826255107
1189311a8367795
12314332207922b
131264494bc1032
146bd563bcba5d
15331ed574a072
hex193e682a1503

27755826255107 has 2 divisors, whose sum is σ = 27755826255108. Its totient is φ = 27755826255106.

The previous prime is 27755826255013. The next prime is 27755826255109. The reversal of 27755826255107 is 70155262855772.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27755826255107 - 28 = 27755826254851 is a prime.

It is a super-2 number, since 2×277558262551072 (a number of 28 digits) contains 22 as substring.

Together with 27755826255109, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27755826255107.

It is not a weakly prime, because it can be changed into another prime (27755826255109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13877913127553 + 13877913127554.

It is an arithmetic number, because the mean of its divisors is an integer number (13877913127554).

Almost surely, 227755826255107 is an apocalyptic number.

27755826255107 is a deficient number, since it is larger than the sum of its proper divisors (1).

27755826255107 is an equidigital number, since it uses as much as digits as its factorization.

27755826255107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320000, while the sum is 62.

The spelling of 27755826255107 in words is "twenty-seven trillion, seven hundred fifty-five billion, eight hundred twenty-six million, two hundred fifty-five thousand, one hundred seven".