Base | Representation |
---|---|
bin | 100001000001011010111… |
… | …010011010010010000000 |
3 | 22000221101012002012111200 |
4 | 201001122322122102000 |
5 | 244134430101244403 |
6 | 4454253132341200 |
7 | 322643401454451 |
oct | 41013272322200 |
9 | 8027335065450 |
10 | 2269267993728 |
11 | 7a543369399a |
12 | 307971314800 |
13 | 135cb6463588 |
14 | 7bb9427b128 |
15 | 3e06766bca3 |
hex | 2105ae9a480 |
2269267993728 has 72 divisors (see below), whose sum is σ = 6530202166995. Its totient is φ = 756405621504.
The previous prime is 2269267993691. The next prime is 2269267993747. The reversal of 2269267993728 is 8273997629622.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2269267993728 is a `hidden beast` number, since 2 + 26 + 92 + 67 + 99 + 372 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1134633996864 + 1134633996864 = 1065192^2 + 1065192^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1065192.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51107025 + ... + 51151407.
Almost surely, 22269267993728 is an apocalyptic number.
It is an amenable number.
2269267993728 is an abundant number, since it is smaller than the sum of its proper divisors (4260934173267).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2269267993728 is an frugal number, since it uses more digits than its factorization.
2269267993728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88786 (or 44388 counting only the distinct ones).
The product of its digits is 493807104, while the sum is 72.
Multiplying 2269267993728 by its sum of digits (72), we get a square (163387295548416 = 127823042).
2269267993728 divided by its sum of digits (72) gives a square (31517611024 = 1775322).
The spelling of 2269267993728 in words is "two trillion, two hundred sixty-nine billion, two hundred sixty-seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".
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