Base | Representation |
---|---|
bin | 10101000110000001… |
… | …111110011011100100 |
3 | 2011110111111222220000 |
4 | 111012001332123210 |
5 | 332341314300320 |
6 | 14223302541300 |
7 | 1431165531066 |
oct | 250601763344 |
9 | 64414458800 |
10 | 22649759460 |
11 | 9673220579 |
12 | 4481437830 |
13 | 219c650643 |
14 | 114c19b736 |
15 | 8c86c9c90 |
hex | 54607e6e4 |
22649759460 has 60 divisors (see below), whose sum is σ = 71053139388. Its totient is φ = 6039935424.
The previous prime is 22649759449. The next prime is 22649759471. The reversal of 22649759460 is 6495794622.
22649759460 is a `hidden beast` number, since 2 + 2 + 6 + 49 + 7 + 594 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (22649759449) and next prime (22649759471).
It can be written as a sum of positive squares in 2 ways, for example, as 6918579684 + 15731179776 = 83178^2 + 125424^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 22649759397 and 22649759406.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 6989047 + ... + 6992286.
Almost surely, 222649759460 is an apocalyptic number.
22649759460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22649759460 is an abundant number, since it is smaller than the sum of its proper divisors (48403379928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22649759460 is a wasteful number, since it uses less digits than its factorization.
22649759460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13981354 (or 13981343 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 22649759460 in words is "twenty-two billion, six hundred forty-nine million, seven hundred fifty-nine thousand, four hundred sixty".
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