Base | Representation |
---|---|
bin | 10100000000110010… |
… | …10110110001111000 |
3 | 1000201202212001121200 |
4 | 22000121112301320 |
5 | 134000440041034 |
6 | 4534042334200 |
7 | 530151022041 |
oct | 120031266170 |
9 | 30652761550 |
10 | 10744065144 |
11 | 461382118a |
12 | 20ba1ba360 |
13 | 1022bb77c7 |
14 | 73cccb8c8 |
15 | 42d386a99 |
hex | 280656c78 |
10744065144 has 144 divisors (see below), whose sum is σ = 31288322520. Its totient is φ = 3329541120.
The previous prime is 10744065133. The next prime is 10744065181. The reversal of 10744065144 is 44156044701.
It is a happy number.
10744065144 is a `hidden beast` number, since 10 + 7 + 440 + 65 + 144 = 666.
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 = 10744065099 and 10744065108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1723954 + ... + 1730174.
Almost surely, 210744065144 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 10744065144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644161260).
10744065144 is an abundant number, since it is smaller than the sum of its proper divisors (20544257376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10744065144 is a wasteful number, since it uses less digits than its factorization.
10744065144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6350 (or 6326 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The spelling of 10744065144 in words is "ten billion, seven hundred forty-four million, sixty-five thousand, one hundred forty-four".
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