Base | Representation |
---|---|
bin | 100010010001010101… |
… | …001000010100001000 |
3 | 10111222111212202021100 |
4 | 202101111020110020 |
5 | 1100330240130033 |
6 | 24523232141400 |
7 | 2441613421233 |
oct | 422125102410 |
9 | 114874782240 |
10 | 36797973768 |
11 | 14673551376 |
12 | 716b697860 |
13 | 361588469a |
14 | 1ad121641a |
15 | e55838513 |
hex | 891548508 |
36797973768 has 24 divisors (see below), whose sum is σ = 99661179150. Its totient is φ = 12265991232.
The previous prime is 36797973767. The next prime is 36797973787. The reversal of 36797973768 is 86737979763.
36797973768 is a `hidden beast` number, since 367 + 97 + 97 + 37 + 68 = 666.
It can be written as a sum of positive squares in only one way, i.e., 32913942084 + 3884031684 = 181422^2 + 62322^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a super-2 number, since 2×367979737682 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 511082969 = 36797973768 / (3 + 6 + 7 + 9 + 7 + 9 + 7 + 3 + 7 + 6 + 8).
It is a junction number, because it is equal to n+sod(n) for n = 36797973696 and 36797973705.
It is not an unprimeable number, because it can be changed into a prime (36797973767) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255541413 + ... + 255541556.
Almost surely, 236797973768 is an apocalyptic number.
It is an amenable number.
36797973768 is an abundant number, since it is smaller than the sum of its proper divisors (62863205382).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36797973768 is a wasteful number, since it uses less digits than its factorization.
36797973768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 511082981 (or 511082974 counting only the distinct ones).
The product of its digits is 504094752, while the sum is 72.
The spelling of 36797973768 in words is "thirty-six billion, seven hundred ninety-seven million, nine hundred seventy-three thousand, seven hundred sixty-eight".
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