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10166160540 = 22352329254027
BaseRepresentation
bin10010111011111001…
…10100110010011100
3222020111102110112110
421131330310302130
5131310014114130
64400440034020
7506632640004
oct113574646234
928214373473
1010166160540
114347594978
121b78762910
13c60257013
146c6257004
153e7780ab0
hex25df34c9c

10166160540 has 96 divisors (see below), whose sum is σ = 30727226880. Its totient is φ = 2503680256.

The previous prime is 10166160533. The next prime is 10166160541. The reversal of 10166160540 is 4506166101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10166160498 and 10166160507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166160541) 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 31 ways as a sum of consecutive naturals, for example, 86994 + ... + 167033.

It is an arithmetic number, because the mean of its divisors is an integer number (320075280).

Almost surely, 210166160540 is an apocalyptic number.

10166160540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166160540 is an abundant number, since it is smaller than the sum of its proper divisors (20561066340).

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

10166160540 is a wasteful number, since it uses less digits than its factorization.

10166160540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254091 (or 254089 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10166160540 in words is "ten billion, one hundred sixty-six million, one hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 13340 20010 40020 254027 508054 762081 1016108 1270135 1524162 2540270 3048324 3810405 5080540 5842621 7366783 7620810 11685242 14733566 15241620 17527863 22100349 23370484 29213105 29467132 35055726 36833915 44200698 58426210 70111452 73667830 87639315 88401396 110501745 116852420 147335660 169436009 175278630 221003490 338872018 350557260 442006980 508308027 677744036 847180045 1016616054 1694360090 2033232108 2541540135 3388720180 5083080270 10166160540