Base | Representation |
---|---|
bin | 111111111110110… |
… | …1000101010000000 |
3 | 12112121200222102000 |
4 | 1333331220222000 |
5 | 13344044114434 |
6 | 553010424000 |
7 | 104126016654 |
oct | 17775505200 |
9 | 5477628360 |
10 | 2146863744 |
11 | a01937563 |
12 | 4bab92000 |
13 | 282a1889c |
14 | 1651a8a64 |
15 | c8722b99 |
hex | 7ff68a80 |
2146863744 has 128 divisors (see below), whose sum is σ = 6471532800. Its totient is φ = 700342272.
The previous prime is 2146863737. The next prime is 2146863749. The reversal of 2146863744 is 4473686412.
2146863744 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 8 + 637 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 2146863744.
It is not an unprimeable number, because it can be changed into a prime (2146863749) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155824 + ... + 169040.
It is an arithmetic number, because the mean of its divisors is an integer number (50558850).
Almost surely, 22146863744 is an apocalyptic number.
2146863744 is a gapful number since it is divisible by the number (24) 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 2146863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235766400).
2146863744 is an abundant number, since it is smaller than the sum of its proper divisors (4324669056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2146863744 is a wasteful number, since it uses less digits than its factorization.
2146863744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13287 (or 13269 counting only the distinct ones).
The product of its digits is 774144, while the sum is 45.
The square root of 2146863744 is about 46334.2610170919. The cubic root of 2146863744 is about 1290.0350017544.
The spelling of 2146863744 in words is "two billion, one hundred forty-six million, eight hundred sixty-three thousand, seven hundred forty-four".
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