| Base | Representation |
|---|---|
| bin | 1100010001111010111001… |
| … | …1100111110010010010000 |
| 3 | 1202210210001020002011010100 |
| 4 | 3010132232130332102100 |
| 5 | 3232204103303321224 |
| 6 | 44414423132332400 |
| 7 | 2562326241142404 |
| oct | 304365634762220 |
| 9 | 52723036064110 |
| 10 | 13502009042064 |
| 11 | 4336196120234 |
| 12 | 1620943614100 |
| 13 | 76c3070c807a |
| 14 | 349701db9104 |
| 15 | 186341866ac9 |
| hex | c47ae73e490 |
13502009042064 has 45 divisors (see below), whose sum is σ = 37786995930073. Its totient is φ = 4500654982656.
The previous prime is 13502009042009. The next prime is 13502009042077. The reversal of 13502009042064 is 46024090020531.
It is a happy number.
The square root of 13502009042064 is 3674508.
It is a perfect power (a square), and thus also a powerful number.
13502009042064 is a `hidden beast` number, since 1 + 3 + 502 + 0 + 0 + 90 + 4 + 2 + 0 + 64 = 666.
13502009042064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 13431550648464 + 70458393600 = 3664908^2 + 265440^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43940992 + ... + 44247200.
Almost surely, 213502009042064 is an apocalyptic number.
13502009042064 is the 3674508-th square number.
It is an amenable number.
13502009042064 is an abundant number, since it is smaller than the sum of its proper divisors (24284986888009).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13502009042064 is an frugal number, since it uses more digits than its factorization.
13502009042064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 612432 (or 306214 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
Multiplying 13502009042064 by its sum of digits (36), we get a square (486072325514304 = 220470482).
13502009042064 divided by its sum of digits (36) gives a square (375055806724 = 6124182).
Adding to 13502009042064 its reverse (46024090020531), we get a palindrome (59526099062595).
The spelling of 13502009042064 in words is "thirteen trillion, five hundred two billion, nine million, forty-two thousand, sixty-four".
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