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10164566020 = 2257592634679
BaseRepresentation
bin10010111011101101…
…01111100000000100
3222020101102110021011
421131312233200010
5131304112103040
64400341532004
7506613246160
oct113566574004
928211373234
1010164566020
1143466a5994
121b78114004
13c5cb1930b
146c5d5dca0
153e75683ea
hex25ddaf804

10164566020 has 96 divisors (see below), whose sum is σ = 24908083200. Its totient is φ = 3412170624.

The previous prime is 10164566011. The next prime is 10164566053. The reversal of 10164566020 is 2066546101.

10164566020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2170041 + ... + 2174719.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 210164566020 is an apocalyptic number.

10164566020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164566020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454041600).

10164566020 is an abundant number, since it is smaller than the sum of its proper divisors (14743517180).

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

10164566020 is a wasteful number, since it uses less digits than its factorization.

10164566020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10164566020 in words is "ten billion, one hundred sixty-four million, five hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 263 295 413 526 590 826 1052 1180 1315 1652 1841 2065 2630 3682 4130 4679 5260 7364 8260 9205 9358 15517 18410 18716 23395 31034 32753 36820 46790 62068 65506 77585 93580 108619 131012 155170 163765 217238 276061 310340 327530 434476 543095 552122 655060 1086190 1104244 1230577 1380305 1932427 2172380 2461154 2760610 3864854 4922308 5521220 6152885 7729708 8614039 9662135 12305770 17228078 19324270 24611540 34456156 38648540 43070195 72604043 86140390 145208086 172280780 290416172 363020215 508228301 726040430 1016456602 1452080860 2032913204 2541141505 5082283010 10164566020