Base | Representation |
---|---|
bin | 100110110000101011111… |
… | …001010010111101001110 |
3 | 100102122020222201212012000 |
4 | 212300223321102331032 |
5 | 322120041214214122 |
6 | 5355352014253130 |
7 | 363303614553006 |
oct | 46605371227516 |
9 | 10378228655160 |
10 | 2663616163662 |
11 | 9376a697a753 |
12 | 3702877b71a6 |
13 | 164240b9b06c |
14 | 92cc3983006 |
15 | 49447ca40ac |
hex | 26c2be52f4e |
2663616163662 has 16 divisors (see below), whose sum is σ = 5919147030480. Its totient is φ = 887872054536.
The previous prime is 2663616163661. The next prime is 2663616163679.
It is a happy number.
2663616163662 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 616 + 16 + 3 + 6 + 6 + 2 = 666.
2663616163662 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 49326225253 = 2663616163662 / (2 + 6 + 6 + 3 + 6 + 1 + 6 + 1 + 6 + 3 + 6 + 6 + 2).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2663616163599 and 2663616163608.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2663616163661) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24663112573 + ... + 24663112680.
It is an arithmetic number, because the mean of its divisors is an integer number (369946689405).
Almost surely, 22663616163662 is an apocalyptic number.
2663616163662 is an abundant number, since it is smaller than the sum of its proper divisors (3255530866818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2663616163662 is a wasteful number, since it uses less digits than its factorization.
2663616163662 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49326225264 (or 49326225258 counting only the distinct ones).
The product of its digits is 10077696, while the sum is 54.
The spelling of 2663616163662 in words is "two trillion, six hundred sixty-three billion, six hundred sixteen million, one hundred sixty-three thousand, six hundred sixty-two".
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