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18964460196 = 223211219229139
BaseRepresentation
bin10001101010010111…
…101011001010100100
31210221122222101200200
4101222113223022210
5302314400211241
612413454110500
71240646152263
oct215227531244
953848871620
1018964460196
118051a41700
1238131ab430
131a32ca60a6
14cbc9665da
1575edb94b6
hex46a5eb2a4

18964460196 has 108 divisors (see below), whose sum is σ = 55465628400. Its totient is φ = 5444318880.

The previous prime is 18964460111. The next prime is 18964460209. The reversal of 18964460196 is 69106446981.

It is a happy number.

18964460196 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 446 + 0 + 196 = 666.

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 35 ways as a sum of consecutive naturals, for example, 31806 + ... + 197333.

Almost surely, 218964460196 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 18964460196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732814200).

18964460196 is an abundant number, since it is smaller than the sum of its proper divisors (36501168204).

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

18964460196 is a wasteful number, since it uses less digits than its factorization.

18964460196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229190 (or 229174 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18964460196 in words is "eighteen billion, nine hundred sixty-four million, four hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1452 1881 2178 2299 2508 3762 4356 4598 6897 7524 9196 13794 20691 27588 41382 82764 229139 458278 687417 916556 1374834 2062251 2520529 2749668 4124502 4353641 5041058 7561587 8249004 8707282 10082116 13060923 15123174 17414564 22684761 26121846 27725819 30246348 39182769 45369522 47890051 52243692 55451638 78365538 83177457 90739044 95780102 110903276 143670153 156731076 166354914 191560204 249532371 287340306 332709828 431010459 499064742 526790561 574680612 862020918 998129484 1053581122 1580371683 1724041836 2107162244 3160743366 4741115049 6321486732 9482230098 18964460196