Search a number
-
+
136684561728 = 263111337157857
BaseRepresentation
bin111111101001100001…
…0001110010101000000
3111001210210010011110010
41333103002032111000
54214412221433403
6142443024304520
712606112414341
oct1772302162500
9431723104403
10136684561728
1152a70965310
12225a7472140
13cb73a359c0
1468891940c8
15384eb1e603
hex1fd308e540

136684561728 has 448 divisors, whose sum is σ = 439643812608. Its totient is φ = 36920033280.

The previous prime is 136684561631. The next prime is 136684561789. The reversal of 136684561728 is 827165486631.

Its product of digits (11612160) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159491476 + ... + 159492332.

It is an arithmetic number, because the mean of its divisors is an integer number (981347796).

Almost surely, 2136684561728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136684561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219821906304).

136684561728 is an abundant number, since it is smaller than the sum of its proper divisors (302959250880).

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

136684561728 is a wasteful number, since it uses less digits than its factorization.

136684561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 136684561728 in words is "one hundred thirty-six billion, six hundred eighty-four million, five hundred sixty-one thousand, seven hundred twenty-eight".