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168364729 = 1325318797
BaseRepresentation
bin10100000100100…
…00101010111001
3102201210210222201
422002100222321
5321100132404
624412350201
74113035161
oct1202205271
9381723881
10168364729
1187045a05
1248475361
1328b5bc00
14185095a1
15ebaaca4
hexa090ab9

168364729 has 12 divisors (see below), whose sum is σ = 185761836. Its totient is φ = 152473152.

The previous prime is 168364717. The next prime is 168364739. The reversal of 168364729 is 927463861.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 166797225 = 1252^2 + 12915^2 .

It is not a de Polignac number, because 168364729 - 27 = 168364601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (168364709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 18355.

It is an arithmetic number, because the mean of its divisors is an integer number (15480153).

Almost surely, 2168364729 is an apocalyptic number.

It is an amenable number.

168364729 is a deficient number, since it is larger than the sum of its proper divisors (17397107).

168364729 is a wasteful number, since it uses less digits than its factorization.

168364729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18876 (or 18863 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 168364729 is about 12975.5434953608. The cubic root of 168364729 is about 552.1838560438.

The spelling of 168364729 in words is "one hundred sixty-eight million, three hundred sixty-four thousand, seven hundred twenty-nine".

Divisors: 1 13 53 169 689 8957 18797 244361 996241 3176693 12951133 168364729