Search a number
-
+
21137488086 = 23111324634093
BaseRepresentation
bin10011101011111001…
…000111100011010110
32000120002220122120010
4103223321013203112
5321242144104321
613413241421050
71345543453461
oct235371074326
960502818503
1021137488086
118a67619720
12411aa9a786
131cbb252a00
1410473c22d8
1583aa59676
hex4ebe478d6

21137488086 has 96 divisors (see below), whose sum is σ = 50058680832. Its totient is φ = 5898372480.

The previous prime is 21137488039. The next prime is 21137488117. The reversal of 21137488086 is 68088473112.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5162256 + ... + 5166348.

It is an arithmetic number, because the mean of its divisors is an integer number (521444592).

Almost surely, 221137488086 is an apocalyptic number.

21137488086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21137488086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25029340416).

21137488086 is an abundant number, since it is smaller than the sum of its proper divisors (28921192746).

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

21137488086 is a wasteful number, since it uses less digits than its factorization.

21137488086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 21137488086 in words is "twenty-one billion, one hundred thirty-seven million, four hundred eighty-eight thousand, eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 463 507 858 926 1014 1389 1859 2778 3718 4093 5093 5577 6019 8186 10186 11154 12038 12279 15279 18057 24558 30558 36114 45023 53209 66209 78247 90046 106418 132418 135069 156494 159627 198627 234741 270138 319254 397254 469482 585299 691717 860717 1170598 1383434 1721434 1755897 1895059 2075151 2582151 3511794 3790118 4150302 5164302 5685177 7608887 11370354 15217774 20845649 22826661 24635767 41691298 45653322 49271534 62536947 73907301 125073894 147814602 270993437 320264971 541986874 640529942 812980311 960794913 1625960622 1921589826 3522914681 7045829362 10568744043 21137488086