Search a number
-
+
18628664022 = 23217233771537
BaseRepresentation
bin10001010110010110…
…101101101011010110
31210002021010011221100
4101112112231223112
5301122414222042
612320300530530
71226431013553
oct212626555326
953067104840
1018628664022
11799a439001
12373a850a46
1319ab554027
14c8a115a2a
1574068924c
hex4565adad6

18628664022 has 96 divisors (see below), whose sum is σ = 45800344512. Its totient is φ = 5439025152.

The previous prime is 18628664017. The next prime is 18628664069. The reversal of 18628664022 is 22046682681.

18628664022 is a `hidden beast` number, since 18 + 628 + 6 + 6 + 4 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224638 + ... + 296174.

It is an arithmetic number, because the mean of its divisors is an integer number (477086922).

Almost surely, 218628664022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18628664022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900172256).

18628664022 is an abundant number, since it is smaller than the sum of its proper divisors (27171680490).

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

18628664022 is a wasteful number, since it uses less digits than its factorization.

18628664022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71622 (or 71619 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18628664022 in words is "eighteen billion, six hundred twenty-eight million, six hundred sixty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 23 34 37 46 51 69 74 102 111 138 153 207 222 306 333 391 414 629 666 782 851 1173 1258 1702 1887 2346 2553 3519 3774 5106 5661 7038 7659 11322 14467 15318 28934 43401 71537 86802 130203 143074 214611 260406 429222 643833 1216129 1287666 1645351 2432258 2646869 3290702 3648387 4936053 5293738 7296774 7940607 9872106 10945161 14808159 15881214 21890322 23821821 27970967 29616318 44996773 47643642 55941934 60877987 83912901 89993546 121755974 134990319 167825802 182633961 251738703 269980638 365267922 404970957 503477406 547901883 809941914 1034925779 1095803766 2069851558 3104777337 6209554674 9314332011 18628664022