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18291018192 = 2431923386077
BaseRepresentation
bin10001000010001110…
…101100100111010000
31202012201202222221020
4101002032230213100
5244430000040232
612222555555440
71215161042436
oct210216544720
952181688836
1018291018192
117836891767
12366575bb80
1319566050b5
14c57342d56
15720be0e2c
hex4423ac9d0

18291018192 has 80 divisors (see below), whose sum is σ = 49952784960. Its totient is φ = 5751254016.

The previous prime is 18291018149. The next prime is 18291018209. The reversal of 18291018192 is 29181019281.

It is a happy number.

It is a super-2 number, since 2×182910181922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169458 + ... + 255534.

It is an arithmetic number, because the mean of its divisors is an integer number (624409812).

Almost surely, 218291018192 is an apocalyptic number.

18291018192 is a gapful number since it is divisible by the number (12) 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 18291018192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976392480).

18291018192 is an abundant number, since it is smaller than the sum of its proper divisors (31661766768).

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

18291018192 is a wasteful number, since it uses less digits than its factorization.

18291018192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86340 (or 86334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

It can be divided in two parts, 182910 and 18192, that added together give a palindrome (201102).

The spelling of 18291018192 in words is "eighteen billion, two hundred ninety-one million, eighteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 304 456 466 699 912 932 1398 1864 2796 3728 4427 5592 8854 11184 13281 17708 26562 35416 53124 70832 86077 106248 172154 212496 258231 344308 516462 688616 1032924 1377232 1635463 2065848 3270926 4131696 4906389 6541852 9812778 13083704 19625556 20055941 26167408 39251112 40111882 60167823 78502224 80223764 120335646 160447528 240671292 320895056 381062879 481342584 762125758 962685168 1143188637 1524251516 2286377274 3048503032 4572754548 6097006064 9145509096 18291018192