Base | Representation |
---|---|
bin | 1100000111110011111101… |
… | …1100011100101011100001 |
3 | 1202012011210111002012022121 |
4 | 3001330333130130223201 |
5 | 3221332424033112401 |
6 | 44202543012304241 |
7 | 2543640613143100 |
oct | 301747734345341 |
9 | 52164714065277 |
10 | 13328347941601 |
11 | 427957aa42100 |
12 | 15b3158912081 |
13 | 758b1c81a064 |
14 | 34114a00a037 |
15 | 181a7a8daca1 |
hex | c1f3f71cae1 |
13328347941601 has 81 divisors (see below), whose sum is σ = 18109966438137. Its totient is φ = 9771295860480.
The previous prime is 13328347941599. The next prime is 13328347941619. The reversal of 13328347941601 is 10614974382331.
The square root of 13328347941601 is 3650801.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 2269557315025 + 11058790626576 = 1506505^2 + 3325476^2 .
It is not a de Polignac number, because 13328347941601 - 21 = 13328347941599 is a prime.
It is a super-2 number, since 2×133283479416012 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13328347941691) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4778897115 + ... + 4778899903.
Almost surely, 213328347941601 is an apocalyptic number.
13328347941601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
13328347941601 is the 3650801-st square number.
13328347941601 is the 1825401-st centered octagonal number.
It is an amenable number.
13328347941601 is a deficient number, since it is larger than the sum of its proper divisors (4781618496536).
13328347941601 is an frugal number, since it uses more digits than its factorization.
13328347941601 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5648 (or 2824 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 52.
The spelling of 13328347941601 in words is "thirteen trillion, three hundred twenty-eight billion, three hundred forty-seven million, nine hundred forty-one thousand, six hundred one".
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