Base | Representation |
---|---|
bin | 1111111111111111111… |
… | …0000000000000000000 |
3 | 222021111200021211120002 |
4 | 3333333332000000000 |
5 | 14000422102221111 |
6 | 330135452135132 |
7 | 25600501126112 |
oct | 3777776000000 |
9 | 867450254502 |
10 | 274877382656 |
11 | a6636131028 |
12 | 45333a674a8 |
13 | 1cbc8093066 |
14 | d43879b3b2 |
15 | 723bd6a63b |
hex | 3ffff80000 |
274877382656 has 40 divisors (see below), whose sum is σ = 549755289600. Its totient is φ = 137438429184.
The previous prime is 274877382643. The next prime is 274877382667. The reversal of 274877382656 is 656283778472.
274877382656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
274877382656 is an admirable number.
It is a super-2 number, since 2×2748773826562 (a number of 24 digits) contains 22 as substring.
It is a nialpdrome in base 2 and base 4.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 274877382592 and 274877382601.
It is a congruent number.
It is an unprimeable number.
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 as a sum of consecutive naturals, namely, 262145 + ... + 786431.
It is an arithmetic number, because the mean of its divisors is an integer number (13743882240).
Almost surely, 2274877382656 is an apocalyptic number.
It is a pronic number, being equal to 524287×524288.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 274877382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274877644800).
274877382656 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
274877382656 is an frugal number, since it uses more digits than its factorization.
274877382656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 524325 (or 524289 counting only the distinct ones).
The product of its digits is 189665280, while the sum is 65.
The spelling of 274877382656 in words is "two hundred seventy-four billion, eight hundred seventy-seven million, three hundred eighty-two thousand, six hundred fifty-six".
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