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2148936194057 is a prime number
BaseRepresentation
bin11111010001010110100…
…101000001100000001001
321121102210001120102102112
4133101112211001200021
5240202010131202212
64323112504312105
7311153433160202
oct37212645014011
97542701512375
102148936194057
117593a4505874
122a858a472635
1312784a5c6253
147601ac445a9
153ad734c5422
hex1f456941809

2148936194057 has 2 divisors, whose sum is σ = 2148936194058. Its totient is φ = 2148936194056.

The previous prime is 2148936194029. The next prime is 2148936194071. The reversal of 2148936194057 is 7504916398412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1142036332921 + 1006899861136 = 1068661^2 + 1003444^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148936194057 - 236 = 2080216717321 is a prime.

It is a super-2 number, since 2×21489361940572 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148936193987 and 2148936194005.

It is not a weakly prime, because it can be changed into another prime (2148936794057) 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, 1074468097028 + 1074468097029.

It is an arithmetic number, because the mean of its divisors is an integer number (1074468097029).

It is a 1-persistent number, because it is pandigital, but 2⋅2148936194057 = 4297872388114 is not.

Almost surely, 22148936194057 is an apocalyptic number.

It is an amenable number.

2148936194057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148936194057 is an equidigital number, since it uses as much as digits as its factorization.

2148936194057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 2148936194057 in words is "two trillion, one hundred forty-eight billion, nine hundred thirty-six million, one hundred ninety-four thousand, fifty-seven".