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10164573829 is a prime number
BaseRepresentation
bin10010111011101101…
…10001011010000101
3222020101102211222101
421131312301122011
5131304112330304
64400342032101
7506613311014
oct113566613205
928211384871
1010164573829
114346700843
121b78118631
13c5cb1ca37
146c5d62a7b
153e756a8a4
hex25ddb1685

10164573829 has 2 divisors, whose sum is σ = 10164573830. Its totient is φ = 10164573828.

The previous prime is 10164573821. The next prime is 10164573833. The reversal of 10164573829 is 92837546101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5151650625 + 5012923204 = 71775^2 + 70802^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164573829 - 23 = 10164573821 is a prime.

It is a super-2 number, since 2×101645738292 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10164573821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082286914 + 5082286915.

It is an arithmetic number, because the mean of its divisors is an integer number (5082286915).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10164573829 = 20329147658, but 3⋅10164573829 = 30493721487 is not.

Almost surely, 210164573829 is an apocalyptic number.

It is an amenable number.

10164573829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164573829 is an equidigital number, since it uses as much as digits as its factorization.

10164573829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10164573829 in words is "ten billion, one hundred sixty-four million, five hundred seventy-three thousand, eight hundred twenty-nine".