Base | Representation |
---|---|
bin | 100001000110010001111… |
… | …001001101000000000000 |
3 | 22001102211210112110120000 |
4 | 201012101321031000000 |
5 | 244231121230010420 |
6 | 4500514551320000 |
7 | 323216603556330 |
oct | 41062171150000 |
9 | 8042753473500 |
10 | 2274485391360 |
11 | 7a7670786a66 |
12 | 308988680000 |
13 | 13663835b200 |
14 | 7c12b16d0c0 |
15 | 3e270717690 |
hex | 21191e4d000 |
2274485391360 has 3120 divisors, whose sum is σ = 10795339589760. Its totient is φ = 447180963840.
The previous prime is 2274485391329. The next prime is 2274485391361. The reversal of 2274485391360 is 631935844722.
2274485391360 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 48 + 539 + 1 + 3 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (3120).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2274485391297 and 2274485391306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2274485391361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37286645730 + ... + 37286645790.
It is a 1-persistent number, because it is pandigital, but 2⋅2274485391360 = 4548970782720 is not.
Almost surely, 22274485391360 is an apocalyptic number.
2274485391360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2274485391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397669794880).
2274485391360 is an abundant number, since it is smaller than the sum of its proper divisors (8520854198400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2274485391360 is a wasteful number, since it uses less digits than its factorization.
2274485391360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 154 (or 110 counting only the distinct ones).
The product of its (nonzero) digits is 8709120, while the sum is 54.
The spelling of 2274485391360 in words is "two trillion, two hundred seventy-four billion, four hundred eighty-five million, three hundred ninety-one thousand, three hundred sixty".
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