Base | Representation |
---|---|
bin | 10011000001111001… |
… | …00110010000100010 |
3 | 222101000000112221100 |
4 | 21200330212100202 |
5 | 131410401321144 |
6 | 4405433335230 |
7 | 511113150000 |
oct | 114074462042 |
9 | 28330015840 |
10 | 10216432674 |
11 | 4372a01098 |
12 | 1b91567516 |
13 | c6a7a9246 |
14 | 6ccbc1a70 |
15 | 3ebdb1269 |
hex | 260f26422 |
10216432674 has 120 divisors (see below), whose sum is σ = 26525413980. Its totient is φ = 2839644864.
The previous prime is 10216432661. The next prime is 10216432679. The reversal of 10216432674 is 47623461201.
10216432674 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 643 + 2 + 6 + 7 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10021411449 + 195021225 = 100107^2 + 13965^2 .
It is not an unprimeable number, because it can be changed into a prime (10216432679) by changing a digit.
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 59 ways as a sum of consecutive naturals, for example, 1595872 + ... + 1602260.
Almost surely, 210216432674 is an apocalyptic number.
10216432674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10216432674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262706990).
10216432674 is an abundant number, since it is smaller than the sum of its proper divisors (16308981306).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10216432674 is an equidigital number, since it uses as much as digits as its factorization.
10216432674 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6462 (or 6438 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
Adding to 10216432674 its reverse (47623461201), we get a palindrome (57839893875).
The spelling of 10216432674 in words is "ten billion, two hundred sixteen million, four hundred thirty-two thousand, six hundred seventy-four".
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