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188538305112 = 233217330146663
BaseRepresentation
bin1010111110010111000…
…0100011101001011000
3200000122120002020221100
42233211300203221120
511042111301230422
6222340250111400
716423104102633
oct2574560435130
9600576066840
10188538305112
1172a5aa5a193
123065911b560
1314a188619b1
1491a7b8ac1a
154d870d67ac
hex2be5c23a58

188538305112 has 96 divisors (see below), whose sum is σ = 540836693280. Its totient is φ = 59130086400.

The previous prime is 188538305101. The next prime is 188538305119. The reversal of 188538305112 is 211503835881.

188538305112 is a `hidden beast` number, since 1 + 8 + 8 + 53 + 83 + 0 + 511 + 2 = 666.

188538305112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188538305119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4017093 + ... + 4063755.

It is an arithmetic number, because the mean of its divisors is an integer number (5633715555).

Almost surely, 2188538305112 is an apocalyptic number.

188538305112 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 188538305112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270418346640).

188538305112 is an abundant number, since it is smaller than the sum of its proper divisors (352298388168).

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

188538305112 is a wasteful number, since it uses less digits than its factorization.

188538305112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49993 (or 49986 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 188538305112 in words is "one hundred eighty-eight billion, five hundred thirty-eight million, three hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3301 6602 9903 13204 19806 26408 29709 39612 46663 56117 59418 79224 93326 112234 118836 139989 168351 186652 224468 237672 279978 336702 373304 419967 448936 505053 559956 673404 793271 839934 1010106 1119912 1346808 1586542 1679868 2020212 2379813 3173084 3359736 4040424 4759626 6346168 7139439 9519252 14278878 19038504 28557756 57115512 154034563 308069126 462103689 616138252 924207378 1232276504 1386311067 1848414756 2618587571 2772622134 3696829512 5237175142 5545244268 7855762713 10474350284 11090488536 15711525426 20948700568 23567288139 31423050852 47134576278 62846101704 94269152556 188538305112