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18368714200 = 23521743125641
BaseRepresentation
bin10001000110110111…
…000101010111011000
31202102010222100211011
4101012313011113120
5300104342323300
612234413143304
71220123331424
oct210667052730
952363870734
1018368714200
117876729941
12368778ab34
131969739875
14c637a9b84
1572793beba
hex446dc55d8

18368714200 has 96 divisors (see below), whose sum is σ = 46271435760. Its totient is φ = 6754406400.

The previous prime is 18368714191. The next prime is 18368714219. The reversal of 18368714200 is 241786381.

It is a super-2 number, since 2×183687142002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83380 + ... + 209020.

Almost surely, 218368714200 is an apocalyptic number.

18368714200 is a gapful number since it is divisible by the number (10) 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 18368714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23135717880).

18368714200 is an abundant number, since it is smaller than the sum of its proper divisors (27902721560).

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

18368714200 is a wasteful number, since it uses less digits than its factorization.

18368714200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125717 (or 125708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 18368714200 in words is "eighteen billion, three hundred sixty-eight million, seven hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 43 50 68 85 86 100 136 170 172 200 215 340 344 425 430 680 731 850 860 1075 1462 1700 1720 2150 2924 3400 3655 4300 5848 7310 8600 14620 18275 29240 36550 73100 125641 146200 251282 502564 628205 1005128 1256410 2135897 2512820 3141025 4271794 5025640 5402563 6282050 8543588 10679485 10805126 12564100 17087176 21358970 21610252 25128200 27012815 42717940 43220504 53397425 54025630 85435880 91843571 106794850 108051260 135064075 183687142 213589700 216102520 270128150 367374284 427179400 459217855 540256300 734748568 918435710 1080512600 1836871420 2296089275 3673742840 4592178550 9184357100 18368714200