Base | Representation |
---|---|
bin | 10100000000110110… |
… | …11111000101001000 |
3 | 1000201210220102110000 |
4 | 22000123133011020 |
5 | 134001110422212 |
6 | 4534102323000 |
7 | 530155535514 |
oct | 120033370510 |
9 | 30653812400 |
10 | 10744623432 |
11 | 4614072684 |
12 | 20ba429460 |
13 | 102305195a |
14 | 73cdd5144 |
15 | 42d4471dc |
hex | 2806df148 |
10744623432 has 160 divisors (see below), whose sum is σ = 30840610680. Its totient is φ = 3493601280.
The previous prime is 10744623353. The next prime is 10744623451. The reversal of 10744623432 is 23432644701.
It can be written as a sum of positive squares in 4 ways, for example, as 9969223716 + 775399716 = 99846^2 + 27846^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6627582 + ... + 6629202.
Almost surely, 210744623432 is an apocalyptic number.
10744623432 is a gapful number since it is divisible by the number (12) 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 10744623432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420305340).
10744623432 is an abundant number, since it is smaller than the sum of its proper divisors (20095987248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10744623432 is a wasteful number, since it uses less digits than its factorization.
10744623432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1885 (or 1872 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
The spelling of 10744623432 in words is "ten billion, seven hundred forty-four million, six hundred twenty-three thousand, four hundred thirty-two".
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