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166053444 = 223414347167
BaseRepresentation
bin10011110010111…
…00011001000100
3102120110101111120
421321130121010
5320002202234
624251033540
74054300554
oct1171343104
9376411446
10166053444
1185807457
124773b8b0
132852cb9b
14180a7164
15e8a1049
hex9e5c644

166053444 has 96 divisors (see below), whose sum is σ = 417263616. Its totient is φ = 51313920.

The previous prime is 166053409. The next prime is 166053469. The reversal of 166053444 is 444350661.

It is a super-2 number, since 2×1660534442 = 55147492528522272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 994249 + ... + 994415.

It is an arithmetic number, because the mean of its divisors is an integer number (4346496).

Almost surely, 2166053444 is an apocalyptic number.

It is an amenable number.

166053444 is an abundant number, since it is smaller than the sum of its proper divisors (251210172).

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

166053444 is a wasteful number, since it uses less digits than its factorization.

166053444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 166053444 is about 12886.1725892524. The cubic root of 166053444 is about 549.6454397997.

It can be divided in two parts, 16 and 6053444, that added together give a triangular number (6053460 = T3479).

The spelling of 166053444 in words is "one hundred sixty-six million, fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 41 43 47 82 86 94 123 129 141 164 167 172 188 246 258 282 334 492 501 516 564 668 1002 1763 1927 2004 2021 3526 3854 4042 5289 5781 6063 6847 7052 7181 7708 7849 8084 10578 11562 12126 13694 14362 15698 20541 21156 21543 23124 23547 24252 27388 28724 31396 41082 43086 47094 82164 82861 86172 94188 165722 248583 294421 321809 331444 337507 497166 588842 643618 675014 883263 965427 994332 1012521 1177684 1287236 1350028 1766526 1930854 2025042 3533052 3861708 4050084 13837787 27675574 41513361 55351148 83026722 166053444