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166042415 = 57114167157
BaseRepresentation
bin10011110010110…
…01101100101111
3102120102211101002
421321121230233
5320001324130
624250510515
74054223450
oct1171315457
9376384332
10166042415
11857aa140
124773543b
1328527b66
14180a3127
15e89cb45
hex9e59b2f

166042415 has 64 divisors (see below), whose sum is σ = 259918848. Its totient is φ = 98841600.

The previous prime is 166042391. The next prime is 166042423. The reversal of 166042415 is 514240661.

It is not a de Polignac number, because 166042415 - 26 = 166042351 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057517 + ... + 1057673.

It is an arithmetic number, because the mean of its divisors is an integer number (4061232).

Almost surely, 2166042415 is an apocalyptic number.

166042415 is a deficient number, since it is larger than the sum of its proper divisors (93876433).

166042415 is a wasteful number, since it uses less digits than its factorization.

166042415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 166042415 is about 12885.7446428214. The cubic root of 166042415 is about 549.6332706779.

The spelling of 166042415 in words is "one hundred sixty-six million, forty-two thousand, four hundred fifteen".

Divisors: 1 5 7 11 35 41 55 67 77 157 205 287 335 385 451 469 737 785 1099 1435 1727 2255 2345 2747 3157 3685 5159 5495 6437 8635 10519 12089 13735 15785 19229 25795 30217 32185 45059 52595 60445 70807 73633 96145 115709 151085 211519 225295 354035 368165 431279 495649 578545 809963 1057595 2156395 2478245 3018953 4049815 4744069 15094765 23720345 33208483 166042415