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21166500560 = 2451033256129
BaseRepresentation
bin10011101101100111…
…110010101011010000
32000122010111122012012
4103231213302223100
5321322111004220
613420155322052
71346345200112
oct235547625320
960563448165
1021166500560
118a81a35177
124128750328
131cc427035a
14104b1b53b2
1583d38aac5
hex4ed9f2ad0

21166500560 has 40 divisors (see below), whose sum is σ = 49259946120. Its totient is φ = 8458371072.

The previous prime is 21166500529. The next prime is 21166500577. The reversal of 21166500560 is 6500566112.

It can be written as a sum of positive squares in 4 ways, for example, as 7753154704 + 13413345856 = 88052^2 + 115816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45425 + ... + 210704.

It is an arithmetic number, because the mean of its divisors is an integer number (1231498653).

Almost surely, 221166500560 is an apocalyptic number.

21166500560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21166500560 is an abundant number, since it is smaller than the sum of its proper divisors (28093445560).

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

21166500560 is a wasteful number, since it uses less digits than its factorization.

21166500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257175 (or 257169 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 21166500560 in words is "twenty-one billion, one hundred sixty-six million, five hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1033 2066 4132 5165 8264 10330 16528 20660 41320 82640 256129 512258 1024516 1280645 2049032 2561290 4098064 5122580 10245160 20490320 264581257 529162514 1058325028 1322906285 2116650056 2645812570 4233300112 5291625140 10583250280 21166500560