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166068045 = 3251113131197
BaseRepresentation
bin10011110010111…
…11111101001101
3102120111010112100
421321133331031
5320003134140
624251225313
74054361253
oct1171377515
9376433470
10166068045
1185817420
1247748239
1328536720
14180ac5d3
15e8a5530
hex9e5ff4d

166068045 has 96 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 73382400.

The previous prime is 166068041. The next prime is 166068059. The reversal of 166068045 is 540860661.

166068045 is a `hidden beast` number, since 1 + 6 + 606 + 8 + 0 + 45 = 666.

It is not a de Polignac number, because 166068045 - 22 = 166068041 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166068041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 842887 + ... + 843083.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2166068045 is an apocalyptic number.

166068045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166068045 is an abundant number, since it is smaller than the sum of its proper divisors (176418099).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166068045 is a wasteful number, since it uses less digits than its factorization.

166068045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 166068045 is about 12886.7391142989. The cubic root of 166068045 is about 549.6615493479.

The spelling of 166068045 in words is "one hundred sixty-six million, sixty-eight thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 131 143 165 195 197 393 429 495 585 591 655 715 985 1179 1287 1441 1703 1773 1965 2145 2167 2561 2955 4323 5109 5895 6435 6501 7205 7683 8515 8865 10835 12805 12969 15327 18733 19503 21615 23049 25545 25807 28171 32505 38415 56199 64845 76635 77421 84513 93665 97515 115245 129035 140855 168597 232263 253539 280995 283877 335491 387105 422565 842985 851631 1006473 1161315 1267695 1419385 1677455 2554893 3019419 3690401 4258155 5032365 11071203 12774465 15097095 18452005 33213609 55356015 166068045