Search a number
-
+
182266242498912 = 253111360721873097
BaseRepresentation
bin101001011100010100101010…
…101000111000000101100000
3212220100111000211020200202210
4221130110222220320011200
5142342222231034431122
61443351542245042120
753251205254551645
oct5134245250700540
9786314024220683
10182266242498912
1153091752246170
12185385039b6340
137a9182c69b9c0
143301a39cc1dcc
15161126ae4740c
hexa5c52aa38160

182266242498912 has 192 divisors, whose sum is σ = 563019841972224. Its totient is φ = 50899569315840.

The previous prime is 182266242498799. The next prime is 182266242498961. The reversal of 182266242498912 is 219894242662281.

It is a super-3 number, since 3×1822662424989123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2603653 + ... + 19269444.

It is an arithmetic number, because the mean of its divisors is an integer number (2932395010272).

Almost surely, 2182266242498912 is an apocalyptic number.

182266242498912 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 182266242498912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281509920986112).

182266242498912 is an abundant number, since it is smaller than the sum of its proper divisors (380753599473312).

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

182266242498912 is a wasteful number, since it uses less digits than its factorization.

182266242498912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21873741 (or 21873733 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 66.

The spelling of 182266242498912 in words is "one hundred eighty-two trillion, two hundred sixty-six billion, two hundred forty-two million, four hundred ninety-eight thousand, nine hundred twelve".