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18289486964 = 2272973892473
BaseRepresentation
bin10001000010001000…
…110110110001110100
31202012121220012111002
4101002020312301310
5244424102040324
612222503102432
71215142034300
oct210210666164
952177805432
1018289486964
117835a36291
123665141a18
1319561ba148
14c57064d00
157209dc3ae
hex442236c74

18289486964 has 72 divisors (see below), whose sum is σ = 37727955720. Its totient is φ = 7734472704.

The previous prime is 18289486949. The next prime is 18289486967. The reversal of 18289486964 is 46968498281.

It can be written as a sum of positive squares in 4 ways, for example, as 2225952400 + 16063534564 = 47180^2 + 126742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18289486964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18289486967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7394432 + ... + 7396904.

It is an arithmetic number, because the mean of its divisors is an integer number (523999385).

Almost surely, 218289486964 is an apocalyptic number.

18289486964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18289486964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863977860).

18289486964 is an abundant number, since it is smaller than the sum of its proper divisors (19438468756).

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

18289486964 is a wasteful number, since it uses less digits than its factorization.

18289486964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2968 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 65.

The spelling of 18289486964 in words is "eighteen billion, two hundred eighty-nine million, four hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 389 679 778 1358 1556 2473 2716 2723 4753 4946 5446 9506 9892 10892 17311 19012 19061 34622 37733 38122 69244 75466 76244 121177 150932 239881 242354 264131 479762 484708 528262 959524 961997 1056524 1679167 1848917 1923994 3358334 3697834 3847988 6716668 6733979 7395668 11754169 13467958 23508338 26935916 47016676 47137853 93313709 94275706 186627418 188551412 373254836 653195963 1306391926 2612783852 4572371741 9144743482 18289486964