Base | Representation |
---|---|
bin | 101001101111001111000… |
… | …1110010000010000000000 |
3 | 202022101202002010211212000 |
4 | 1103132132032100100000 |
5 | 1222441210041024424 |
6 | 20111140545104000 |
7 | 1131305141301000 |
oct | 123363616202000 |
9 | 22271662124760 |
10 | 5736435876864 |
11 | 191189955a790 |
12 | 787914928000 |
13 | 327c36085554 |
14 | 15b905b68000 |
15 | 9e3404393c9 |
hex | 5379e390400 |
5736435876864 has 1408 divisors, whose sum is σ = 21833269248000. Its totient is φ = 1474837217280.
The previous prime is 5736435876791. The next prime is 5736435876901. The reversal of 5736435876864 is 4686785346375.
5736435876864 is a `hidden beast` number, since 5 + 7 + 36 + 4 + 3 + 587 + 6 + 8 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1408).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 5736435876792 and 5736435876801.
It is an unprimeable number.
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 127 ways as a sum of consecutive naturals, for example, 13248119592 + ... + 13248120024.
Almost surely, 25736435876864 is an apocalyptic number.
5736435876864 is a gapful number since it is divisible by the number (54) 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 5736435876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916634624000).
5736435876864 is an abundant number, since it is smaller than the sum of its proper divisors (16096833371136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5736435876864 is a wasteful number, since it uses less digits than its factorization.
5736435876864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 621 (or 583 counting only the distinct ones).
The product of its digits is 2438553600, while the sum is 72.
The spelling of 5736435876864 in words is "five trillion, seven hundred thirty-six billion, four hundred thirty-five million, eight hundred seventy-six thousand, eight hundred sixty-four".
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