Search a number
-
+
136136268032 = 28737284689
BaseRepresentation
bin111111011001001011…
…0101001100100000000
3111000101120101221220012
41332302112221210000
54212301341034112
6142312400404052
712556404120422
oct1766226514400
9430346357805
10136136268032
115280a413126
1222473916628
13cab727206b
14683642a812
15381b917022
hex1fb25a9900

136136268032 has 36 divisors (see below), whose sum is σ = 275463267660. Its totient is φ = 67135684608.

The previous prime is 136136267989. The next prime is 136136268049. The reversal of 136136268032 is 230862631631.

It can be written as a sum of positive squares in 2 ways, for example, as 90278615296 + 45857652736 = 300464^2 + 214144^2 .

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 3 ways as a sum of consecutive naturals, for example, 3623657 + ... + 3661032.

It is an arithmetic number, because the mean of its divisors is an integer number (7651757435).

Almost surely, 2136136268032 is an apocalyptic number.

It is an amenable number.

136136268032 is an abundant number, since it is smaller than the sum of its proper divisors (139326999628).

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

136136268032 is an frugal number, since it uses more digits than its factorization.

136136268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284778 (or 7284764 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

Adding to 136136268032 its reverse (230862631631), we get a palindrome (366998899663).

The spelling of 136136268032 in words is "one hundred thirty-six billion, one hundred thirty-six million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 18688 7284689 14569378 29138756 58277512 116555024 233110048 466220096 531782297 932440192 1063564594 1864880384 2127129188 4254258376 8508516752 17017033504 34034067008 68068134016 136136268032