Base | Representation |
---|---|
bin | 100100110110110001111… |
… | …100101100000000000000 |
3 | 22222010101200210102122200 |
4 | 210312301330230000000 |
5 | 312444003112312230 |
6 | 5215303245233200 |
7 | 350661123051225 |
oct | 44666174540000 |
9 | 8863350712580 |
10 | 2532721213440 |
11 | 897137108240 |
12 | 34aa37262800 |
13 | 154ab077a4b2 |
14 | 8a8276b394c |
15 | 45d365b0160 |
hex | 24db1f2c000 |
2532721213440 has 720 divisors, whose sum is σ = 9657341890560. Its totient is φ = 608910704640.
The previous prime is 2532721213423. The next prime is 2532721213499. The reversal of 2532721213440 is 443121272352.
2532721213440 is a `hidden beast` number, since 2 + 532 + 72 + 1 + 2 + 13 + 4 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×25327212134403 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2532721213395 and 2532721213404.
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, 1029978931 + ... + 1029981389.
It is an arithmetic number, because the mean of its divisors is an integer number (13412974848).
Almost surely, 22532721213440 is an apocalyptic number.
2532721213440 is a gapful number since it is divisible by the number (20) 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 2532721213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828670945280).
2532721213440 is an abundant number, since it is smaller than the sum of its proper divisors (7124620677120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2532721213440 is a wasteful number, since it uses less digits than its factorization.
2532721213440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2636 (or 2607 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
Adding to 2532721213440 its reverse (443121272352), we get a palindrome (2975842485792).
The spelling of 2532721213440 in words is "two trillion, five hundred thirty-two billion, seven hundred twenty-one million, two hundred thirteen thousand, four hundred forty".
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