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10164174541 is a prime number
BaseRepresentation
bin10010111011101010…
…01111111011001101
3222020100200120020221
421131311033323031
5131304012041131
64400325311341
7506610025633
oct113565177315
928210616227
1010164174541
114346458854
121b77b65551
13c5ca10081
146c5c9b353
153e74dc411
hex25dd4fecd

10164174541 has 2 divisors, whose sum is σ = 10164174542. Its totient is φ = 10164174540.

The previous prime is 10164174529. The next prime is 10164174547. The reversal of 10164174541 is 14547146101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7880290441 + 2283884100 = 88771^2 + 47790^2 .

It is an emirp because it is prime and its reverse (14547146101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10164174541 - 215 = 10164141773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10164174497 and 10164174506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10164174547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082087270 + 5082087271.

It is an arithmetic number, because the mean of its divisors is an integer number (5082087271).

Almost surely, 210164174541 is an apocalyptic number.

It is an amenable number.

10164174541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164174541 is an equidigital number, since it uses as much as digits as its factorization.

10164174541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10164174541 in words is "ten billion, one hundred sixty-four million, one hundred seventy-four thousand, five hundred forty-one".