Search a number
-
+
18405185166 = 23223431915413
BaseRepresentation
bin10001001001000010…
…001101011010001110
31202111200121021120200
4101021002031122032
5300143211411131
612242154554330
71221045330654
oct211102153216
952450537520
1018405185166
11789527a035
123697a389a6
131974169014
14c68580dd4
1572ac432e6
hex44908d68e

18405185166 has 96 divisors (see below), whose sum is σ = 42810273792. Its totient is φ = 5700784320.

The previous prime is 18405185131. The next prime is 18405185213. The reversal of 18405185166 is 66158150481.

18405185166 is a `hidden beast` number, since 1 + 8 + 405 + 1 + 85 + 166 = 666.

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, 3397476 + ... + 3402888.

It is an arithmetic number, because the mean of its divisors is an integer number (445940352).

Almost surely, 218405185166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18405185166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405136896).

18405185166 is an abundant number, since it is smaller than the sum of its proper divisors (24405088626).

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

18405185166 is a wasteful number, since it uses less digits than its factorization.

18405185166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 18405185166 in words is "eighteen billion, four hundred five million, one hundred eighty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 191 207 258 382 387 414 573 774 989 1146 1719 1978 2967 3438 4393 5413 5934 8213 8786 8901 10826 13179 16239 16426 17802 24639 26358 32478 39537 48717 49278 73917 79074 97434 124499 147834 188899 232759 248998 373497 377798 465518 566697 698277 746994 1033883 1120491 1133394 1396554 1700091 2067766 2094831 2240982 3101649 3400182 4189662 5353457 6203298 9304947 10706914 16060371 18609894 23779309 32120742 44456969 47558618 48181113 71337927 88913938 96362226 133370907 142675854 214013781 266741814 400112721 428027562 800225442 1022510287 2045020574 3067530861 6135061722 9202592583 18405185166