Base | Representation |
---|---|
bin | 10100000001110101… |
… | …010110000011000000 |
3 | 2001111202120112221000 |
4 | 110001311112003000 |
5 | 323020413111012 |
6 | 13513551332000 |
7 | 1360633364241 |
oct | 240165260300 |
9 | 61452515830 |
10 | 21505597632 |
11 | 9136392892 |
12 | 4202221000 |
13 | 20495a99cc |
14 | 1080244cc8 |
15 | 85d01dddc |
hex | 501d560c0 |
21505597632 has 224 divisors, whose sum is σ = 66340085760. Its totient is φ = 6818549760.
The previous prime is 21505597549. The next prime is 21505597639. The reversal of 21505597632 is 23679550512.
21505597632 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 5 + 5 + 9 + 7 + 632 = 666.
It is a super-3 number, since 3×215055976323 (a number of 32 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (21505597639) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7589688 + ... + 7592520.
Almost surely, 221505597632 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 21505597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33170042880).
21505597632 is an abundant number, since it is smaller than the sum of its proper divisors (44834488128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21505597632 is a wasteful number, since it uses less digits than its factorization.
21505597632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3068 (or 3052 counting only the distinct ones).
The product of its (nonzero) digits is 567000, while the sum is 45.
The spelling of 21505597632 in words is "twenty-one billion, five hundred five million, five hundred ninety-seven thousand, six hundred thirty-two".
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