Search a number
-
+
182009201052 = 223723379726249
BaseRepresentation
bin1010100110000010011…
…0000000000110011100
3122101210112102101221110
42221200212000012130
510440223323413202
6215340332502020
716102233453060
oct2514046000634
9571715371843
10182009201052
117020a4a3718
122b33661a910
1314217c90903
148b489abaa0
154b03cd726c
hex2a6098019c

182009201052 has 192 divisors, whose sum is σ = 525530880000. Its totient is φ = 47896510464.

The previous prime is 182009201051. The next prime is 182009201093. The reversal of 182009201052 is 250102900281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182009201051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6920824 + ... + 6947072.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140000).

Almost surely, 2182009201052 is an apocalyptic number.

182009201052 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 182009201052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262765440000).

182009201052 is an abundant number, since it is smaller than the sum of its proper divisors (343521678948).

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

182009201052 is a wasteful number, since it uses less digits than its factorization.

182009201052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 182009201052 in words is "one hundred eighty-two billion, nine million, two hundred one thousand, fifty-two".