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168058045 = 5297315877
BaseRepresentation
bin10100000010001…
…01110010111101
3102201020020022001
422001011302331
5321010324140
624402022301
74110320101
oct1201056275
9381206261
10168058045
1186956551
1248347991
1328a8243c
1418469901
15eb49e9a
hexa045cbd

168058045 has 16 divisors (see below), whose sum is σ = 211494960. Its totient is φ = 128024064.

The previous prime is 168058027. The next prime is 168058063. The reversal of 168058045 is 540850861.

168058045 = T280 + T281 + ... + T1009.

It is an interprime number because it is at equal distance from previous prime (168058027) and next prime (168058063).

It can be written as a sum of positive squares in 8 ways, for example, as 20848356 + 147209689 = 4566^2 + 12133^2 .

It is a 5-Lehmer number, since φ(168058045) divides (168058045-1)5.

It is a cyclic number.

It is not a de Polignac number, because 168058045 - 25 = 168058013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168057995 and 168058013.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2647 + ... + 18523.

It is an arithmetic number, because the mean of its divisors is an integer number (13218435).

It is a Poulet number, since it divides 2168058044-1.

Almost surely, 2168058045 is an apocalyptic number.

168058045 is the 10585-th pentagonal number.

It is an amenable number.

168058045 is a deficient number, since it is larger than the sum of its proper divisors (43436915).

168058045 is a wasteful number, since it uses less digits than its factorization.

168058045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984.

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 168058045 is about 12963.7203379277. The cubic root of 168058045 is about 551.8483762739.

The spelling of 168058045 in words is "one hundred sixty-eight million, fifty-eight thousand, forty-five".

Divisors: 1 5 29 73 145 365 2117 10585 15877 79385 460433 1159021 2302165 5795105 33611609 168058045