| Base | Representation |
|---|---|
| bin | 10011100001000010… |
| … | …10011111111110000 |
| 3 | 1000001012200002111211 |
| 4 | 21300201103333300 |
| 5 | 132424243343230 |
| 6 | 4451405445504 |
| 7 | 520435053223 |
| oct | 116041237760 |
| 9 | 30035602454 |
| 10 | 10477715440 |
| 11 | 4497440765 |
| 12 | 2044b70894 |
| 13 | cac96c32a |
| 14 | 7157975ba |
| 15 | 414cc342a |
| hex | 270853ff0 |
10477715440 has 40 divisors (see below), whose sum is σ = 24395179680. Its totient is φ = 4185152256.
The previous prime is 10477715431. The next prime is 10477715449. The reversal of 10477715440 is 4451777401.
10477715440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10477715431) and next prime (10477715449).
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×104777154402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 10477715393 and 10477715402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10477715449) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35644 + ... + 149083.
It is an arithmetic number, because the mean of its divisors is an integer number (609879492).
Almost surely, 210477715440 is an apocalyptic number.
10477715440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10477715440 is an abundant number, since it is smaller than the sum of its proper divisors (13917464240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10477715440 is a wasteful number, since it uses less digits than its factorization.
10477715440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 185449 (or 185443 counting only the distinct ones).
The product of its (nonzero) digits is 109760, while the sum is 40.
The spelling of 10477715440 in words is "ten billion, four hundred seventy-seven million, seven hundred fifteen thousand, four hundred forty".
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