Search a number
-
+
106826398577 is a prime number
BaseRepresentation
bin110001101111101011…
…0010111101101110001
3101012201220201022122122
41203133112113231301
53222240024223302
6121024140244025
710501154256113
oct1433726275561
9335656638578
10106826398577
1141339798418
1218853b40615
13a0c5b72042
14525590b3b3
152ba36b13a2
hex18df597b71

106826398577 has 2 divisors, whose sum is σ = 106826398578. Its totient is φ = 106826398576.

The previous prime is 106826398537. The next prime is 106826398633. The reversal of 106826398577 is 775893628601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104607611761 + 2218786816 = 323431^2 + 47104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106826398577 is a prime.

It is a super-2 number, since 2×1068263985772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106826398537) 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, 53413199288 + 53413199289.

It is an arithmetic number, because the mean of its divisors is an integer number (53413199289).

Almost surely, 2106826398577 is an apocalyptic number.

It is an amenable number.

106826398577 is a deficient number, since it is larger than the sum of its proper divisors (1).

106826398577 is an equidigital number, since it uses as much as digits as its factorization.

106826398577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 62.

The spelling of 106826398577 in words is "one hundred six billion, eight hundred twenty-six million, three hundred ninety-eight thousand, five hundred seventy-seven".