Base | Representation |
---|---|
bin | 10011111111111110… |
… | …011110000011110000 |
3 | 2001102120221100021000 |
4 | 103333332132003300 |
5 | 322434423412222 |
6 | 13510515402000 |
7 | 1360104455061 |
oct | 237776360360 |
9 | 61376840230 |
10 | 21474435312 |
11 | 911a839100 |
12 | 41b38b3300 |
13 | 2042cb8975 |
14 | 107a052568 |
15 | 85a4159ac |
hex | 4fff9e0f0 |
21474435312 has 240 divisors, whose sum is σ = 68392324000. Its totient is φ = 6445992960.
The previous prime is 21474435287. The next prime is 21474435319. The reversal of 21474435312 is 21353447412.
21474435312 is a `hidden beast` number, since 2 + 14 + 74 + 43 + 531 + 2 = 666.
It is a super-2 number, since 2×214744353122 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21474435319) 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, 5695764 + ... + 5699532.
Almost surely, 221474435312 is an apocalyptic number.
21474435312 is a gapful number since it is divisible by the number (22) 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 21474435312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34196162000).
21474435312 is an abundant number, since it is smaller than the sum of its proper divisors (46917888688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21474435312 is a wasteful number, since it uses less digits than its factorization.
21474435312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3917 (or 3894 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The spelling of 21474435312 in words is "twenty-one billion, four hundred seventy-four million, four hundred thirty-five thousand, three hundred twelve".
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