Base | Representation |
---|---|
bin | 1010101011101011… |
… | …01101100110000000 |
3 | 112210200121211100000 |
4 | 11111311231212000 |
5 | 43221142023130 |
6 | 2345031200000 |
7 | 262056432231 |
oct | 52565554600 |
9 | 15720554300 |
10 | 5735111040 |
11 | 248335889a |
12 | 1140816000 |
13 | 705242439 |
14 | 3c5979088 |
15 | 238762260 |
hex | 155d6d980 |
5735111040 has 192 divisors, whose sum is σ = 20538095760. Its totient is φ = 1529321472.
The previous prime is 5735111023. The next prime is 5735111047. The reversal of 5735111040 is 401115375.
5735111040 is a `hidden beast` number, since 573 + 51 + 1 + 1 + 0 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×57351110402 = 65782997282259763200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 5735110995 and 5735111013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5735111047) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137082 + ... + 173958.
Almost surely, 25735111040 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 5735111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269047880).
5735111040 is an abundant number, since it is smaller than the sum of its proper divisors (14802984720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5735111040 is an equidigital number, since it uses as much as digits as its factorization.
5735111040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36911 (or 36887 counting only the distinct ones).
The product of its (nonzero) digits is 2100, while the sum is 27.
The square root of 5735111040 is about 75730.5159100346. The cubic root of 5735111040 is about 1789.9762842379.
The spelling of 5735111040 in words is "five billion, seven hundred thirty-five million, one hundred eleven thousand, forty".
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