Search a number
-
+
188743428607032 = 233513193712978191
BaseRepresentation
bin101010111010100101000001…
…000001000000110000111000
3220202021200210001122011200000
4222322211001001000300320
5144214333020210411112
61505231311210313000
754520156053221265
oct5272450101006070
9822250701564600
10188743428607032
1155159702a10412
12192038a8428760
13814157651c550
14348733301026c
1516c49b2c167dc
hexaba941040c38

188743428607032 has 768 divisors, whose sum is σ = 617730303590400. Its totient is φ = 53483541995520.

The previous prime is 188743428607021. The next prime is 188743428607159. The reversal of 188743428607032 is 230706824347881.

188743428607032 is a `hidden beast` number, since 1 + 8 + 87 + 4 + 3 + 428 + 60 + 70 + 3 + 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23042778057 + ... + 23042786247.

It is an arithmetic number, because the mean of its divisors is an integer number (804336332800).

Almost surely, 2188743428607032 is an apocalyptic number.

188743428607032 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 188743428607032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308865151795200).

188743428607032 is an abundant number, since it is smaller than the sum of its proper divisors (428986874983368).

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

188743428607032 is a wasteful number, since it uses less digits than its factorization.

188743428607032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 188743428607032 in words is "one hundred eighty-eight trillion, seven hundred forty-three billion, four hundred twenty-eight million, six hundred seven thousand, thirty-two".