Base | Representation |
---|---|
bin | 100001111001101010… |
… | …110001010111110000 |
3 | 10110221211220002002200 |
4 | 201321222301113300 |
5 | 1044022123300101 |
6 | 24420011343200 |
7 | 2426023225200 |
oct | 417152612760 |
9 | 113854802080 |
10 | 36400993776 |
11 | 1448a459434 |
12 | 707a751b00 |
13 | 358155c894 |
14 | 1a945da400 |
15 | e30a6e986 |
hex | 879ab15f0 |
36400993776 has 180 divisors, whose sum is σ = 125475687792. Its totient is φ = 9788470272.
The previous prime is 36400993703. The next prime is 36400993781. The reversal of 36400993776 is 67739900463.
36400993776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31780 + ... + 271683.
Almost surely, 236400993776 is an apocalyptic number.
36400993776 is a gapful number since it is divisible by the number (36) 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 36400993776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62737843896).
36400993776 is an abundant number, since it is smaller than the sum of its proper divisors (89074694016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36400993776 is a wasteful number, since it uses less digits than its factorization.
36400993776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 303508 (or 303492 counting only the distinct ones).
The product of its (nonzero) digits is 5143824, while the sum is 54.
The spelling of 36400993776 in words is "thirty-six billion, four hundred million, nine hundred ninety-three thousand, seven hundred seventy-six".
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