Search a number
-
+
111592121389056 = 212357112515801
BaseRepresentation
bin11001010111111000010000…
…110000010101000000000000
3112122010002202210211100200000
4121113320100300111000000
5104111311131033422211
61033200413550400000
732335156540161450
oct3127702060250000
9478102683740600
10111592121389056
1132613a53361670
1210623373800000
134a36126b76619
141d7b132121d60
15cd7b792c8656
hex657e10c15000

111592121389056 has 1248 divisors, whose sum is σ = 418492623983616. Its totient is φ = 28864512000000.

The previous prime is 111592121389031. The next prime is 111592121389087. The reversal of 111592121389056 is 650983121295111.

111592121389056 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 92 + 121 + 389 + 0 + 56 = 666.

It is a super-2 number, since 2×1115921213890562 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111592121388993 and 111592121389011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19236701356 + ... + 19236707156.

It is an arithmetic number, because the mean of its divisors is an integer number (335330628192).

Almost surely, 2111592121389056 is an apocalyptic number.

111592121389056 is a gapful number since it is divisible by the number (16) 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 111592121389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209246311991808).

111592121389056 is an abundant number, since it is smaller than the sum of its proper divisors (306900502594560).

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

111592121389056 is an equidigital number, since it uses as much as digits as its factorization.

111592121389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 111592121389056 in words is "one hundred eleven trillion, five hundred ninety-two billion, one hundred twenty-one million, three hundred eighty-nine thousand, fifty-six".