Search a number
-
+
115554589740000 = 253354375783513
BaseRepresentation
bin11010010001100010100110…
…010001100000101111100000
3120011010220121001002202001000
4122101202212101200233200
5110121221244433140000
61045433013511112000
733224354312345325
oct3221424621405740
9504126531082030
10115554589740000
1133901476451854
1210b63306372600
134c6299c0ba498
142076c2ca26b4c
15d55c90325000
hex6918a6460be0

115554589740000 has 480 divisors, whose sum is σ = 432540683799840. Its totient is φ = 29981726208000.

The previous prime is 115554589739971. The next prime is 115554589740001. The reversal of 115554589740000 is 47985455511.

115554589740000 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 54 + 589 + 7 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115554589740001) 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 79 ways as a sum of consecutive naturals, for example, 17088244 + ... + 22871756.

It is an arithmetic number, because the mean of its divisors is an integer number (901126424583).

Almost surely, 2115554589740000 is an apocalyptic number.

115554589740000 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 115554589740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216270341899920).

115554589740000 is an abundant number, since it is smaller than the sum of its proper divisors (316986094059840).

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

115554589740000 is an equidigital number, since it uses as much as digits as its factorization.

115554589740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783589 (or 5783560 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 115554589740000 in words is "one hundred fifteen trillion, five hundred fifty-four billion, five hundred eighty-nine million, seven hundred forty thousand".