| Base | Representation |
|---|---|
| bin | 10011010001110000… |
| … | …00111100000000000 |
| 3 | 222201021100211212000 |
| 4 | 21220320013200000 |
| 5 | 132143431211330 |
| 6 | 4430545104000 |
| 7 | 514320043644 |
| oct | 115070074000 |
| 9 | 28637324760 |
| 10 | 10349475840 |
| 11 | 4431011420 |
| 12 | 200a028000 |
| 13 | c8c21bc02 |
| 14 | 702734c24 |
| 15 | 4088e1560 |
| hex | 268e07800 |
10349475840 has 768 divisors, whose sum is σ = 41607820800. Its totient is φ = 2418278400.
The previous prime is 10349475827. The next prime is 10349475841. The reversal of 10349475840 is 4857494301.
10349475840 is a `hidden beast` number, since 10 + 3 + 494 + 75 + 84 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a super-2 number, since 2×103494758402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10349475841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124692439 + ... + 124692521.
It is an arithmetic number, because the mean of its divisors is an integer number (54176850).
Almost surely, 210349475840 is an apocalyptic number.
10349475840 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 10349475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803910400).
10349475840 is an abundant number, since it is smaller than the sum of its proper divisors (31258344960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10349475840 is a wasteful number, since it uses less digits than its factorization.
10349475840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 10349475840 in words is "ten billion, three hundred forty-nine million, four hundred seventy-five thousand, eight hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.080 sec. • engine limits •