Base | Representation |
---|---|
bin | 101011001011101011010110… |
… | …011111011010101000000000 |
3 | 220220110000202012010022112000 |
4 | 223023223112133122220000 |
5 | 144343111002342014042 |
6 | 1511531200455504000 |
7 | 55001104355144046 |
oct | 5313532637325000 |
9 | 826400665108460 |
10 | 189918462454272 |
11 | 55571a70989402 |
12 | 19373578988000 |
13 | 81c83075c1ba6 |
14 | 34c8161882396 |
15 | 16e5335bb874c |
hex | acbad67daa00 |
189918462454272 has 320 divisors, whose sum is σ = 596329364442240. Its totient is φ = 59473296949248.
The previous prime is 189918462454249. The next prime is 189918462454283. The reversal of 189918462454272 is 272454264819981.
189918462454272 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 1 + 8 + 4 + 6 + 2 + 4 + 542 + 72 = 666.
189918462454272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 189918462454272.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127810678 + ... + 129288074.
It is an arithmetic number, because the mean of its divisors is an integer number (1863529263882).
Almost surely, 2189918462454272 is an apocalyptic number.
189918462454272 is a gapful number since it is divisible by the number (12) 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 189918462454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298164682221120).
189918462454272 is an abundant number, since it is smaller than the sum of its proper divisors (406410901987968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189918462454272 is a wasteful number, since it uses less digits than its factorization.
189918462454272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1477988 (or 1477966 counting only the distinct ones).
The product of its digits is 557383680, while the sum is 72.
The spelling of 189918462454272 in words is "one hundred eighty-nine trillion, nine hundred eighteen billion, four hundred sixty-two million, four hundred fifty-four thousand, two hundred seventy-two".
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