| Base | Representation |
|---|---|
| bin | 10011100110000011… |
| … | …01000010000000000 |
| 3 | 1000011010202020100100 |
| 4 | 21303001220100000 |
| 5 | 133021023211230 |
| 6 | 4455510322400 |
| 7 | 521455220055 |
| oct | 116301502000 |
| 9 | 30133666310 |
| 10 | 10519741440 |
| 11 | 450913549a |
| 12 | 2057059400 |
| 13 | cb85950a0 |
| 14 | 71b1b702c |
| 15 | 418825660 |
| hex | 273068400 |
10519741440 has 528 divisors, whose sum is σ = 41603850288. Its totient is φ = 2434793472.
The previous prime is 10519741429. The next prime is 10519741447. The reversal of 10519741440 is 4414791501.
10519741440 is a `hidden beast` number, since 10 + 5 + 197 + 414 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 339738624 + 10180002816 = 18432^2 + 100896^2 .
It is a super-2 number, since 2×105197414402 (a number of 21 digits) 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 = 10519741395 and 10519741404.
It is not an unprimeable number, because it can be changed into a prime (10519741447) 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, 10183164 + ... + 10184196.
It is an arithmetic number, because the mean of its divisors is an integer number (78795171).
Almost surely, 210519741440 is an apocalyptic number.
10519741440 is a gapful number since it is divisible by the number (10) 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 10519741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801925144).
10519741440 is an abundant number, since it is smaller than the sum of its proper divisors (31084108848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10519741440 is a wasteful number, since it uses less digits than its factorization.
10519741440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The spelling of 10519741440 in words is "ten billion, five hundred nineteen million, seven hundred forty-one thousand, four hundred forty".
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