Search a number
-
+
136523104623360 = 28325721324730449
BaseRepresentation
bin11111000010101011000011…
…001001111001101100000000
3122220101110222220012000202200
4133002223003021321230000
5120343243304240421420
61202205503132313200
740520316542151300
oct3702530311715400
9586343886160680
10136523104623360
113a55613a456624
121338b113612800
135b240c56c3c00
14259da79935600
1510bb42c73db90
hex7c2ac3279b00

136523104623360 has 1944 divisors, whose sum is σ = 607673059156800. Its totient is φ = 28191079268352.

The previous prime is 136523104623343. The next prime is 136523104623379. The reversal of 136523104623360 is 63326401325631.

136523104623360 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 2 + 3 + 10 + 4 + 623 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4483649416 + ... + 4483679864.

It is an arithmetic number, because the mean of its divisors is an integer number (312589022200).

Almost surely, 2136523104623360 is an apocalyptic number.

136523104623360 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 136523104623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303836529578400).

136523104623360 is an abundant number, since it is smaller than the sum of its proper divisors (471149954533440).

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

136523104623360 is a wasteful number, since it uses less digits than its factorization.

136523104623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30526 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

Adding to 136523104623360 its reverse (63326401325631), we get a palindrome (199849505948991).

The spelling of 136523104623360 in words is "one hundred thirty-six trillion, five hundred twenty-three billion, one hundred four million, six hundred twenty-three thousand, three hundred sixty".