Base | Representation |
---|---|
bin | 1001100011000001011110… |
… | …11101001110100000000000 |
3 | 2202100001201111221020100000 |
4 | 10301200233131032200000 |
5 | 10222433413130133233 |
6 | 112352441233200000 |
7 | 4264544445251244 |
oct | 461405735164000 |
9 | 82301644836300 |
10 | 20994596333568 |
11 | 6764838336400 |
12 | 2430a87a00000 |
13 | b93a21bc7600 |
14 | 528202b66424 |
15 | 2661b700ad13 |
hex | 13182f74e800 |
20994596333568 has 1296 divisors, whose sum is σ = 74880323743680. Its totient is φ = 5869767720960.
The previous prime is 20994596333549. The next prime is 20994596333629. The reversal of 20994596333568 is 86533369549902.
20994596333568 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 4 + 59 + 6 + 3 + 3 + 3 + 568 = 666.
It is a tau number, because it is divible by the number of its divisors (1296).
It is a super-2 number, since 2×209945963335682 (a number of 27 digits) contains 22 as substring.
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 = 20994596333496 and 20994596333505.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10176730105 + ... + 10176732167.
It is an arithmetic number, because the mean of its divisors is an integer number (57778027580).
Almost surely, 220994596333568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20994596333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440161871840).
20994596333568 is an abundant number, since it is smaller than the sum of its proper divisors (53885727410112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20994596333568 is a wasteful number, since it uses less digits than its factorization.
20994596333568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2148 (or 2092 counting only the distinct ones).
The product of its (nonzero) digits is 1133740800, while the sum is 72.
The spelling of 20994596333568 in words is "twenty trillion, nine hundred ninety-four billion, five hundred ninety-six million, three hundred thirty-three thousand, five hundred sixty-eight".
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