Base | Representation |
---|---|
bin | 1011000110001001110… |
… | …01110011100011010100 |
3 | 1100110002201002201020000 |
4 | 11203010321303203110 |
5 | 22221310204002443 |
6 | 451052042011300 |
7 | 36354664466124 |
oct | 5430471634324 |
9 | 1313081081200 |
10 | 381260609748 |
11 | 137767747117 |
12 | 61a834a6b30 |
13 | 29c50189545 |
14 | 1464b4a6c84 |
15 | 9db668b8d3 |
hex | 58c4e738d4 |
381260609748 has 120 divisors (see below), whose sum is σ = 1024314686472. Its totient is φ = 123569162496.
The previous prime is 381260609683. The next prime is 381260609771. The reversal of 381260609748 is 847906062183.
381260609748 is a `hidden beast` number, since 3 + 8 + 1 + 26 + 0 + 609 + 7 + 4 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 62501000004 + 318759609744 = 250002^2 + 564588^2 .
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 = 381260609694 and 381260609703.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19326786 + ... + 19346502.
Almost surely, 2381260609748 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 381260609748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512157343236).
381260609748 is an abundant number, since it is smaller than the sum of its proper divisors (643054076724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
381260609748 is a wasteful number, since it uses less digits than its factorization.
381260609748 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21383 (or 21372 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 381260609748 in words is "three hundred eighty-one billion, two hundred sixty million, six hundred nine thousand, seven hundred forty-eight".
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