Base | Representation |
---|---|
bin | 1011110010010011… |
… | …0011100110010100 |
3 | 22011111011220212200 |
4 | 2330210303212110 |
5 | 22434410441030 |
6 | 1241534244500 |
7 | 141254363034 |
oct | 27444634624 |
9 | 8144156780 |
10 | 3163765140 |
11 | 1383954638 |
12 | 743656730 |
13 | 3b55c29a3 |
14 | 2202758c4 |
15 | 137b41d60 |
hex | bc933994 |
3163765140 has 144 divisors (see below), whose sum is σ = 10033121280. Its totient is φ = 806008320.
The previous prime is 3163765133. The next prime is 3163765141. The reversal of 3163765140 is 415673613.
3163765140 is a `hidden beast` number, since 3 + 1 + 637 + 6 + 5 + 14 + 0 = 666.
3163765140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×31637651402 = 20018819722158439200, which contains 22 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 = 3163765095 and 3163765104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3163765141) 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, 437232 + ... + 444408.
Almost surely, 23163765140 is an apocalyptic number.
3163765140 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 3163765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016560640).
3163765140 is an abundant number, since it is smaller than the sum of its proper divisors (6869356140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3163765140 is a wasteful number, since it uses less digits than its factorization.
3163765140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7302 (or 7297 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 3163765140 is about 56247.3567378948. The cubic root of 3163765140 is about 1468.0293738724.
The spelling of 3163765140 in words is "three billion, one hundred sixty-three million, seven hundred sixty-five thousand, one hundred forty".
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