Search a number
-
+
10166166150 = 2352773132631
BaseRepresentation
bin10010111011111001…
…10110001010000110
3222020111102202020020
421131330312022012
5131310014304100
64400440120010
7506632662240
oct113574661206
928214382206
1010166166150
114347599108
121b78766006
13c6025973a
146c6259090
153e77825a0
hex25df36286

10166166150 has 96 divisors (see below), whose sum is σ = 29208749568. Its totient is φ = 2291846400.

The previous prime is 10166166149. The next prime is 10166166151. The reversal of 10166166150 is 5166166101.

It is an interprime number because it is at equal distance from previous prime (10166166149) and next prime (10166166151).

It is a Curzon number.

It is a congruent number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10335 + ... + 142965.

It is an arithmetic number, because the mean of its divisors is an integer number (304257808).

Almost surely, 210166166150 is an apocalyptic number.

10166166150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166166150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604374784).

10166166150 is an abundant number, since it is smaller than the sum of its proper divisors (19042583418).

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

10166166150 is a wasteful number, since it uses less digits than its factorization.

10166166150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132726 (or 132721 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10166166150 in words is "ten billion, one hundred sixty-six million, one hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 146 150 175 210 219 350 365 438 511 525 730 1022 1050 1095 1533 1825 2190 2555 3066 3650 5110 5475 7665 10950 12775 15330 25550 38325 76650 132631 265262 397893 663155 795786 928417 1326310 1856834 1989465 2785251 3315775 3978930 4642085 5570502 6631550 9284170 9682063 9947325 13926255 19364126 19894650 23210425 27852510 29046189 46420850 48410315 58092378 67774441 69631275 96820630 135548882 139262550 145230945 203323323 242051575 290461890 338872205 406646646 484103150 677744410 726154725 1016616615 1452309450 1694361025 2033233230 3388722050 5083083075 10166166150