Search a number
-
+
181218203268 = 223192324993011
BaseRepresentation
bin1010100011000101110…
…0100101011010000100
3122022202102000112222020
42220301130211122010
510432113330001033
6215130035003140
716043520212064
oct2506134453204
9568672015866
10181218203268
116a943a51343
122b1557394b0
131412014039b
148ab19073a4
154aa963c6b3
hex2a31725684

181218203268 has 144 divisors (see below), whose sum is σ = 466378080000. Its totient is φ = 54610839360.

The previous prime is 181218203267. The next prime is 181218203273. The reversal of 181218203268 is 862302812181.

It is not an unprimeable number, because it can be changed into a prime (181218203261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60183883 + ... + 60186893.

Almost surely, 2181218203268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181218203268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233189040000).

181218203268 is an abundant number, since it is smaller than the sum of its proper divisors (285159876732).

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

181218203268 is a wasteful number, since it uses less digits than its factorization.

181218203268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 181218203268 in words is "one hundred eighty-one billion, two hundred eighteen million, two hundred three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 499 529 874 998 1058 1311 1497 1587 1748 1996 2116 2622 2994 3011 3174 5244 5988 6022 6348 9033 9481 10051 11477 12044 18066 18962 20102 22954 28443 30153 34431 36132 37924 40204 45908 56886 57209 60306 68862 69253 113772 114418 120612 137724 138506 171627 207759 218063 228836 263971 277012 343254 415518 436126 527942 654189 686508 791913 831036 872252 1055884 1308378 1315807 1502489 1583826 1592819 2616756 2631614 3004978 3167652 3185638 3947421 4507467 4778457 5015449 5263228 6009956 6371276 7894842 9014934 9556914 10030898 15046347 15789684 18029868 19113828 20061796 28547291 30092694 30263561 34557247 57094582 60185388 60527122 69114494 85641873 90790683 103671741 114189164 121054244 138228988 171283746 181581366 207343482 342567492 363162732 414686964 656587693 794816681 1313175386 1589633362 1969763079 2384450043 2626350772 3179266724 3939526158 4768900086 7879052316 9537800172 15101516939 30203033878 45304550817 60406067756 90609101634 181218203268