Search a number
-
+
21827556036 = 223211134240007
BaseRepresentation
bin10100010101000001…
…100001001011000100
32002100012101201211100
4110111001201023010
5324200323243121
614005532140100
71401623110416
oct242501411304
962305351740
1021827556036
1192910a4a10
124292007630
13209b1c5440
1410b0cd29b6
1587b419026
hex5150612c4

21827556036 has 72 divisors (see below), whose sum is σ = 64821242304. Its totient is φ = 6105608640.

The previous prime is 21827556013. The next prime is 21827556067. The reversal of 21827556036 is 63065572812.

21827556036 is a `hidden beast` number, since 2 + 1 + 82 + 7 + 5 + 560 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21827555982 and 21827556000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114856 + ... + 2125151.

It is an arithmetic number, because the mean of its divisors is an integer number (900295032).

Almost surely, 221827556036 is an apocalyptic number.

21827556036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21827556036 is an abundant number, since it is smaller than the sum of its proper divisors (42993686268).

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

21827556036 is a wasteful number, since it uses less digits than its factorization.

21827556036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240041 (or 4240036 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 21827556036 in words is "twenty-one billion, eight hundred twenty-seven million, five hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 4240007 8480014 12720021 16960028 25440042 38160063 46640077 50880084 55120091 76320126 93280154 110240182 139920231 152640252 165360273 186560308 220480364 279840462 330720546 419760693 496080819 559680924 606321001 661441092 839521386 992161638 1212642002 1679042772 1818963003 1984323276 2425284004 3637926006 5456889009 7275852012 10913778018 21827556036