Base | Representation |
---|---|
bin | 111111000001100… |
… | …0111110001100000 |
3 | 12110101021022012001 |
4 | 1332003013301200 |
5 | 13312333404423 |
6 | 545502213344 |
7 | 103256025400 |
oct | 17603076140 |
9 | 5411238161 |
10 | 2114747488 |
11 | 9957a10a7 |
12 | 4b0284254 |
13 | 279182599 |
14 | 160c08800 |
15 | c59cbcad |
hex | 7e0c7c60 |
2114747488 has 72 divisors (see below), whose sum is σ = 4934723472. Its totient is φ = 889185024.
The previous prime is 2114747473. The next prime is 2114747501. The reversal of 2114747488 is 8847474112.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70381 + ... + 95827.
It is an arithmetic number, because the mean of its divisors is an integer number (68537826).
Almost surely, 22114747488 is an apocalyptic number.
2114747488 is a gapful number since it is divisible by the number (28) 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 2114747488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467361736).
2114747488 is an abundant number, since it is smaller than the sum of its proper divisors (2819975984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114747488 is a wasteful number, since it uses less digits than its factorization.
2114747488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25524 (or 25509 counting only the distinct ones).
The product of its digits is 401408, while the sum is 46.
The square root of 2114747488 is about 45986.3837238807. The cubic root of 2114747488 is about 1283.5698458490.
It can be divided in two parts, 21147 and 47488, that added together give a triangular number (68635 = T370).
The spelling of 2114747488 in words is "two billion, one hundred fourteen million, seven hundred forty-seven thousand, four hundred eighty-eight".
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