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10166166152 = 23234110391297
BaseRepresentation
bin10010111011111001…
…10110001010001000
3222020111102202020022
421131330312022020
5131310014304102
64400440120012
7506632662242
oct113574661210
928214382208
1010166166152
11434759910a
121b78766008
13c6025973c
146c6259092
153e77825a2
hex25df36288

10166166152 has 64 divisors (see below), whose sum is σ = 20410790400. Its totient is φ = 4735272960.

The previous prime is 10166166151. The next prime is 10166166161. The reversal of 10166166152 is 25166166101.

10166166152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10166166151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7837568 + ... + 7838864.

It is an arithmetic number, because the mean of its divisors is an integer number (318918600).

Almost surely, 210166166152 is an apocalyptic number.

It is an amenable number.

10166166152 is an abundant number, since it is smaller than the sum of its proper divisors (10244624248).

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

10166166152 is a wasteful number, since it uses less digits than its factorization.

10166166152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10166166152 in words is "ten billion, one hundred sixty-six million, one hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 23 41 46 82 92 164 184 328 943 1039 1297 1886 2078 2594 3772 4156 5188 7544 8312 10376 23897 29831 42599 47794 53177 59662 85198 95588 106354 119324 170396 191176 212708 238648 340792 425416 979777 1223071 1347583 1959554 2446142 2695166 3919108 4892284 5390332 7838216 9784568 10780664 30994409 55250903 61988818 110501806 123977636 221003612 247955272 442007224 1270770769 2541541538 5083083076 10166166152