Search a number
-
+
21104370018 = 234832915641
BaseRepresentation
bin10011101001111010…
…110010000101100010
32000110210121002010000
4103221322302011202
5321210204320033
613410055520430
71344662120364
oct235172620542
960423532100
1021104370018
118a4a959616
12410b989116
131cb4428714
141042c40d34
15837bb6a13
hex4e9eb2162

21104370018 has 40 divisors (see below), whose sum is σ = 47298123180. Its totient is φ = 7033495680.

The previous prime is 21104369989. The next prime is 21104370031. The reversal of 21104370018 is 81007340112.

21104370018 is a `hidden beast` number, since 211 + 0 + 437 + 0 + 0 + 18 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20650552209 + 453817809 = 143703^2 + 21303^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21104369973 and 21104370000.

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 19 ways as a sum of consecutive naturals, for example, 1341478 + ... + 1357118.

Almost surely, 221104370018 is an apocalyptic number.

21104370018 is an abundant number, since it is smaller than the sum of its proper divisors (26193753162).

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

21104370018 is a wasteful number, since it uses less digits than its factorization.

21104370018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23984 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 21104370018 in words is "twenty-one billion, one hundred four million, three hundred seventy thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 8329 15641 16658 24987 31282 46923 49974 74961 93846 140769 149922 224883 281538 422307 449766 674649 844614 1266921 1349298 2533842 130273889 260547778 390821667 781643334 1172465001 2344930002 3517395003 7034790006 10552185009 21104370018