Search a number
-
+
136404529384452 = 2237107127632318899
BaseRepresentation
bin11111000000111100100111…
…100001010000110000000100
3122212222010221011221210001120
4133000330213201100300010
5120334322434010300302
61202035213053353540
740505621253230310
oct3700744741206004
9585863834853046
10136404529384452
113a50a92186260a
1213370140a988b0
135b15b79747854
14259802b908b40
1510b82dc8be9bc
hex7c0f27850c04

136404529384452 has 192 divisors, whose sum is σ = 370113911193600. Its totient is φ = 38296403316864.

The previous prime is 136404529384451. The next prime is 136404529384483. The reversal of 136404529384452 is 254483925404631.

It is a super-3 number, since 3×1364045293844523 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (136404529384451) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7217543299 + ... + 7217562197.

It is an arithmetic number, because the mean of its divisors is an integer number (1927676620800).

Almost surely, 2136404529384452 is an apocalyptic number.

136404529384452 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 136404529384452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185056955596800).

136404529384452 is an abundant number, since it is smaller than the sum of its proper divisors (233709381809148).

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

136404529384452 is a wasteful number, since it uses less digits than its factorization.

136404529384452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25470 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 136404529384452 in words is "one hundred thirty-six trillion, four hundred four billion, five hundred twenty-nine million, three hundred eighty-four thousand, four hundred fifty-two".