Base | Representation |
---|---|
bin | 10001011010010001011111… |
… | …10100100010111010000000 |
3 | 12000120010012222102212121000 |
4 | 20231020233310202322000 |
5 | 20004240004014431120 |
6 | 213232224341132000 |
7 | 11031040155042300 |
oct | 1055105764427200 |
9 | 160503188385530 |
10 | 38286140780160 |
11 | 11221074397599 |
12 | 436413b0ba000 |
13 | 18494a17745c0 |
14 | 9650b825d600 |
15 | 465d9c827990 |
hex | 22d22fd22e80 |
38286140780160 has 6144 divisors, whose sum is σ = 187348847616000. Its totient is φ = 7303955742720.
The previous prime is 38286140780123. The next prime is 38286140780161. The reversal of 38286140780160 is 6108704168283.
38286140780160 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 614 + 0 + 7 + 8 + 0 + 16 + 0 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 38286140780097 and 38286140780106.
It is not an unprimeable number, because it can be changed into a prime (38286140780161) by changing a digit.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 524467681884 + ... + 524467681956.
It is an arithmetic number, because the mean of its divisors is an integer number (30492976500).
Almost surely, 238286140780160 is an apocalyptic number.
38286140780160 is a gapful number since it is divisible by the number (30) 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 38286140780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93674423808000).
38286140780160 is an abundant number, since it is smaller than the sum of its proper divisors (149062706835840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38286140780160 is a wasteful number, since it uses less digits than its factorization.
38286140780160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 241 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 3096576, while the sum is 54.
The spelling of 38286140780160 in words is "thirty-eight trillion, two hundred eighty-six billion, one hundred forty million, seven hundred eighty thousand, one hundred sixty".
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