Base | Representation |
---|---|
bin | 11110111000110101000… |
… | …011100101011100000000 |
3 | 21111220210220212011121200 |
4 | 132320311003211130000 |
5 | 234234043104221243 |
6 | 4303035533421200 |
7 | 306232051052364 |
oct | 36706503453400 |
9 | 7456726764550 |
10 | 2122603976448 |
11 | 749211676a5a |
12 | 2a345b93a800 |
13 | 1252120845b7 |
14 | 74a3d9912a4 |
15 | 3a33189bad3 |
hex | 1ee350e5700 |
2122603976448 has 108 divisors (see below), whose sum is σ = 6124099592520. Its totient is φ = 707059611648.
The previous prime is 2122603976447. The next prime is 2122603976509. The reversal of 2122603976448 is 8446793062212.
It is a happy number.
2122603976448 is a `hidden beast` number, since 2 + 1 + 22 + 603 + 9 + 7 + 6 + 4 + 4 + 8 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 2122603976394 and 2122603976403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122603976447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3131343 + ... + 3748401.
Almost surely, 22122603976448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122603976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062049796260).
2122603976448 is an abundant number, since it is smaller than the sum of its proper divisors (4001495616072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122603976448 is a wasteful number, since it uses less digits than its factorization.
2122603976448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 618574 (or 618557 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 2122603976448 in words is "two trillion, one hundred twenty-two billion, six hundred three million, nine hundred seventy-six thousand, four hundred forty-eight".
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