Base | Representation |
---|---|
bin | 11010001001001000… |
… | …000101001011101000 |
3 | 2200110021102002211000 |
4 | 122021020011023220 |
5 | 424442010310434 |
6 | 20521222035000 |
7 | 2012416320021 |
oct | 321110051350 |
9 | 80407362730 |
10 | 28070400744 |
11 | 109a5011601 |
12 | 5534878a60 |
13 | 2854699aa9 |
14 | 1504077c48 |
15 | ae4520b99 |
hex | 6892052e8 |
28070400744 has 128 divisors (see below), whose sum is σ = 79732396800. Its totient is φ = 9147582720.
The previous prime is 28070400739. The next prime is 28070400767. The reversal of 28070400744 is 44700407082.
It is a super-4 number, since 4×280704007444 (a number of 43 digits) contains 4444 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 = 28070400699 and 28070400708.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194014 + ... + 2206770.
It is an arithmetic number, because the mean of its divisors is an integer number (622909350).
Almost surely, 228070400744 is an apocalyptic number.
28070400744 is a gapful number since it is divisible by the number (24) 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 28070400744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39866198400).
28070400744 is an abundant number, since it is smaller than the sum of its proper divisors (51661996056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28070400744 is a wasteful number, since it uses less digits than its factorization.
28070400744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13000 (or 12990 counting only the distinct ones).
The product of its (nonzero) digits is 50176, while the sum is 36.
The spelling of 28070400744 in words is "twenty-eight billion, seventy million, four hundred thousand, seven hundred forty-four".
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