Base | Representation |
---|---|
bin | 10010101101010000… |
… | …00110110010100000 |
3 | 221220221012221002220 |
4 | 21112220012302200 |
5 | 131032040214421 |
6 | 4340330311040 |
7 | 503611355115 |
oct | 112650066240 |
9 | 27827187086 |
10 | 10043288736 |
11 | 42941a1528 |
12 | 1b43588480 |
13 | c40965c00 |
14 | 6b3bd090c |
15 | 3dbaae3c6 |
hex | 256a06ca0 |
10043288736 has 288 divisors, whose sum is σ = 31048980480. Its totient is φ = 2830464000.
The previous prime is 10043288653. The next prime is 10043288753. The reversal of 10043288736 is 63788234001.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
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 47 ways as a sum of consecutive naturals, for example, 9555411 + ... + 9556461.
It is an arithmetic number, because the mean of its divisors is an integer number (107808960).
Almost surely, 210043288736 is an apocalyptic number.
10043288736 is a gapful number since it is divisible by the number (16) 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 10043288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524490240).
10043288736 is an abundant number, since it is smaller than the sum of its proper divisors (21005691744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10043288736 is a wasteful number, since it uses less digits than its factorization.
10043288736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 42.
The spelling of 10043288736 in words is "ten billion, forty-three million, two hundred eighty-eight thousand, seven hundred thirty-six".
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