Base | Representation |
---|---|
bin | 10100111101011111… |
… | …011101110000000000 |
3 | 2011002111221101222000 |
4 | 110331133131300000 |
5 | 332043130314401 |
6 | 14201144144000 |
7 | 1424506023300 |
oct | 247537356000 |
9 | 64074841860 |
10 | 22506494976 |
11 | 95aa369879 |
12 | 4441468000 |
13 | 2178a6c464 |
14 | 1137147600 |
15 | 8bad2b186 |
hex | 53d7ddc00 |
22506494976 has 528 divisors, whose sum is σ = 79808436000. Its totient is φ = 6242697216.
The previous prime is 22506494951. The next prime is 22506494981. The reversal of 22506494976 is 67949460522.
22506494976 is a `hidden beast` number, since 2 + 2 + 506 + 49 + 4 + 97 + 6 = 666.
It is a super-2 number, since 2×225064949762 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50125600 + ... + 50126048.
Almost surely, 222506494976 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 22506494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39904218000).
22506494976 is an abundant number, since it is smaller than the sum of its proper divisors (57301941024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22506494976 is a wasteful number, since it uses less digits than its factorization.
22506494976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 529 (or 498 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 22506494976 in words is "twenty-two billion, five hundred six million, four hundred ninety-four thousand, nine hundred seventy-six".
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