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104268081761 is a prime number
BaseRepresentation
bin110000100011011011…
…1001010101001100001
3100222010121210100201222
41201012313022221201
53202020112104021
6115522230504425
710350601033364
oct1410667125141
9328117710658
10104268081761
11402466830a8
121825b205115
139aa8b34acc
145091c3a0db
152aa3cb66ab
hex1846dcaa61

104268081761 has 2 divisors, whose sum is σ = 104268081762. Its totient is φ = 104268081760.

The previous prime is 104268081739. The next prime is 104268081781. The reversal of 104268081761 is 167180862401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72175509025 + 32092572736 = 268655^2 + 179144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104268081761 is a prime.

It is a super-2 number, since 2×1042680817612 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (104268081721) 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, 52134040880 + 52134040881.

It is an arithmetic number, because the mean of its divisors is an integer number (52134040881).

Almost surely, 2104268081761 is an apocalyptic number.

It is an amenable number.

104268081761 is a deficient number, since it is larger than the sum of its proper divisors (1).

104268081761 is an equidigital number, since it uses as much as digits as its factorization.

104268081761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 104268081761 in words is "one hundred four billion, two hundred sixty-eight million, eighty-one thousand, seven hundred sixty-one".