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164801473 is a prime number
BaseRepresentation
bin10011101001010…
…10101111000001
3102111002210010021
421310222233001
5314142121343
624204133441
74040534524
oct1164525701
9374083107
10164801473
1185031871
1247237281
13281b2085
1417c5cbbb
15e7050ed
hex9d2abc1

164801473 has 2 divisors, whose sum is σ = 164801474. Its totient is φ = 164801472.

The previous prime is 164801431. The next prime is 164801477. The reversal of 164801473 is 374108461.

It is a happy number.

164801473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163660849 + 1140624 = 12793^2 + 1068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164801473 is a prime.

It is equal to p9228481 and since 164801473 and 9228481 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (164801477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82400736 + 82400737.

It is an arithmetic number, because the mean of its divisors is an integer number (82400737).

Almost surely, 2164801473 is an apocalyptic number.

It is an amenable number.

164801473 is a deficient number, since it is larger than the sum of its proper divisors (1).

164801473 is an equidigital number, since it uses as much as digits as its factorization.

164801473 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 164801473 is about 12837.5025998050. The cubic root of 164801473 is about 548.2605907595.

The spelling of 164801473 in words is "one hundred sixty-four million, eight hundred one thousand, four hundred seventy-three".