| Base | Representation |
|---|---|
| bin | 111111101001100101… |
| … | …1011000100100000000 |
| 3 | 111001210221122011022001 |
| 4 | 1333103023120210000 |
| 5 | 4214413330303234 |
| 6 | 142443151553344 |
| 7 | 12606142005100 |
| oct | 1772313304400 |
| 9 | 431727564261 |
| 10 | 136686962944 |
| 11 | 52a72255394 |
| 12 | 225a822b854 |
| 13 | cb7439693c |
| 14 | 688961b200 |
| 15 | 384ee45d14 |
| hex | 1fd32d8900 |
136686962944 has 81 divisors (see below), whose sum is σ = 317481474681. Its totient is φ = 58562380800.
The previous prime is 136686962899. The next prime is 136686962947. The reversal of 136686962944 is 449269686631.
The square root of 136686962944 is 369712.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 28261644544 + 108425318400 = 168112^2 + 329280^2 .
It is a Harshad number since it is a multiple of its sum of digits (64).
It is not an unprimeable number, because it can be changed into a prime (136686962947) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 41406094 + ... + 41409394.
Almost surely, 2136686962944 is an apocalyptic number.
136686962944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
136686962944 is the 369712-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 136686962944
136686962944 is an abundant number, since it is smaller than the sum of its proper divisors (180794511737).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136686962944 is an frugal number, since it uses more digits than its factorization.
136686962944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6632 (or 3310 counting only the distinct ones).
The product of its digits is 80621568, while the sum is 64.
Multiplying 136686962944 by its sum of digits (64), we get a square (8747965628416 = 29576962).
136686962944 divided by its sum of digits (64) gives a square (2135733796 = 462142).
The spelling of 136686962944 in words is "one hundred thirty-six billion, six hundred eighty-six million, nine hundred sixty-two thousand, nine hundred forty-four".
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