Search a number
-
+
164407563 = 342029723
BaseRepresentation
bin10011100110010…
…10100100001011
3102110100202210000
421303022210023
5314042020223
624151454043
74034304225
oct1163124413
9373322700
10164407563
1184892921
1247087323
13280a49a8
1417b99415
15e678543
hex9cca90b

164407563 has 10 divisors (see below), whose sum is σ = 245596604. Its totient is φ = 109604988.

The previous prime is 164407553. The next prime is 164407567. The reversal of 164407563 is 365704461.

It is a happy number.

164407563 is a `hidden beast` number, since 1 + 644 + 0 + 7 + 5 + 6 + 3 = 666.

It is not a de Polignac number, because 164407563 - 28 = 164407307 is a prime.

It is a super-3 number, since 3×1644075633 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164407567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1014781 + ... + 1014942.

Almost surely, 2164407563 is an apocalyptic number.

164407563 is a deficient number, since it is larger than the sum of its proper divisors (81189041).

164407563 is an equidigital number, since it uses as much as digits as its factorization.

164407563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029735 (or 2029726 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164407563 is about 12822.1512625612. The cubic root of 164407563 is about 547.8234230941.

The spelling of 164407563 in words is "one hundred sixty-four million, four hundred seven thousand, five hundred sixty-three".

Divisors: 1 3 9 27 81 2029723 6089169 18267507 54802521 164407563