Base | Representation |
---|---|
bin | 10011100011010001… |
… | …10110100110011001 |
3 | 1000002111221220002222 |
4 | 21301220312212121 |
5 | 132444044010101 |
6 | 4453315433425 |
7 | 521053342415 |
oct | 116150664631 |
9 | 30074856088 |
10 | 10496469401 |
11 | 44a6a8a900 |
12 | 204b2b5875 |
13 | cb3807552 |
14 | 718079d45 |
15 | 41677a01b |
hex | 271a36999 |
10496469401 has 24 divisors (see below), whose sum is σ = 11642344392. Its totient is φ = 9455846400.
The previous prime is 10496469371. The next prime is 10496469413.
10496469401 is nontrivially palindromic in base 10.
10496469401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 67158025 + 10429311376 = 8195^2 + 102124^2 .
It is not a de Polignac number, because 10496469401 - 26 = 10496469337 is a prime.
It is a super-2 number, since 2×104964694012 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10496469461) 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 23 ways as a sum of consecutive naturals, for example, 12784571 + ... + 12785391.
It is an arithmetic number, because the mean of its divisors is an integer number (485097683).
Almost surely, 210496469401 is an apocalyptic number.
10496469401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10496469401 is a deficient number, since it is larger than the sum of its proper divisors (1145874991).
10496469401 is a wasteful number, since it uses less digits than its factorization.
10496469401 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 44.
The spelling of 10496469401 in words is "ten billion, four hundred ninety-six million, four hundred sixty-nine thousand, four hundred one".
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