Base | Representation |
---|---|
bin | 10100110100001110011101… |
… | …01010111101011101000000 |
3 | 20000002001002211210002211000 |
4 | 22122013032222331131000 |
5 | 21444434031030413403 |
6 | 241204414142252000 |
7 | 12433062350553240 |
oct | 1232071652753500 |
9 | 200061084702730 |
10 | 45774933841728 |
11 | 13649049892643 |
12 | 51735a4887000 |
13 | 1c70733479b80 |
14 | b4373913bb20 |
15 | 545a9ed407a3 |
hex | 29a1ceabd740 |
45774933841728 has 448 divisors, whose sum is σ = 170967145431040. Its totient is φ = 11683072972800.
The previous prime is 45774933841699. The next prime is 45774933841733. The reversal of 45774933841728 is 82714833947754.
45774933841728 is a `hidden beast` number, since 4 + 5 + 7 + 74 + 9 + 3 + 384 + 172 + 8 = 666.
45774933841728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179523 + ... + 9569853.
It is an arithmetic number, because the mean of its divisors is an integer number (381623092480).
Almost surely, 245774933841728 is an apocalyptic number.
45774933841728 is a gapful number since it is divisible by the number (48) 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 45774933841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85483572715520).
45774933841728 is an abundant number, since it is smaller than the sum of its proper divisors (125192211589312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45774933841728 is a wasteful number, since it uses less digits than its factorization.
45774933841728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9390403 (or 9390387 counting only the distinct ones).
The product of its digits is 1137991680, while the sum is 72.
The spelling of 45774933841728 in words is "forty-five trillion, seven hundred seventy-four billion, nine hundred thirty-three million, eight hundred forty-one thousand, seven hundred twenty-eight".
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