Base | Representation |
---|---|
bin | 1010000000101010001110… |
… | …11110111101100110000000 |
3 | 2212221102011022112012010100 |
4 | 11000111013132331212000 |
5 | 10341124413103102234 |
6 | 114452331214202400 |
7 | 4431244230420351 |
oct | 500250736754600 |
9 | 85842138465110 |
10 | 22012906690944 |
11 | 7017691a51854 |
12 | 25762b9ab3400 |
13 | c38a677a9930 |
14 | 561604d07d28 |
15 | 282915ed3399 |
hex | 1405477bd980 |
22012906690944 has 384 divisors, whose sum is σ = 70712622489600. Its totient is φ = 6527253196800.
The previous prime is 22012906690919. The next prime is 22012906690949. The reversal of 22012906690944 is 44909660921022.
22012906690944 is a `hidden beast` number, since 2 + 201 + 290 + 6 + 69 + 0 + 94 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×220129066909442 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22012906690949) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110857989 + ... + 111056379.
It is an arithmetic number, because the mean of its divisors is an integer number (184147454400).
Almost surely, 222012906690944 is an apocalyptic number.
22012906690944 is a gapful number since it is divisible by the number (24) 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 22012906690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35356311244800).
22012906690944 is an abundant number, since it is smaller than the sum of its proper divisors (48699715798656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22012906690944 is a wasteful number, since it uses less digits than its factorization.
22012906690944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 198694 (or 198679 counting only the distinct ones).
The product of its (nonzero) digits is 3359232, while the sum is 54.
The spelling of 22012906690944 in words is "twenty-two trillion, twelve billion, nine hundred six million, six hundred ninety thousand, nine hundred forty-four".
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