Base | Representation |
---|---|
bin | 1001001101110001… |
… | …0101111000000000 |
3 | 20101101122222120000 |
4 | 2103130111320000 |
5 | 20031230233014 |
6 | 1045243320000 |
7 | 115204636110 |
oct | 22334257000 |
9 | 6341588500 |
10 | 2473680384 |
11 | 105a36775a |
12 | 590520000 |
13 | 305645706 |
14 | 19675d040 |
15 | e727c509 |
hex | 93715e00 |
2473680384 has 200 divisors, whose sum is σ = 8439029808. Its totient is φ = 706682880.
The previous prime is 2473680317. The next prime is 2473680403. The reversal of 2473680384 is 4830863742.
It is a super-2 number, since 2×24736803842 = 12238189284372774912, which contains 22 as substring.
It is a congruent number.
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 19 ways as a sum of consecutive naturals, for example, 286044 + ... + 294564.
Almost surely, 22473680384 is an apocalyptic number.
2473680384 is a gapful number since it is divisible by the number (24) 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 2473680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219514904).
2473680384 is an abundant number, since it is smaller than the sum of its proper divisors (5965349424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2473680384 is an frugal number, since it uses more digits than its factorization.
2473680384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8558 (or 8533 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The square root of 2473680384 is about 49736.1074472058. The cubic root of 2473680384 is about 1352.4291671169.
The spelling of 2473680384 in words is "two billion, four hundred seventy-three million, six hundred eighty thousand, three hundred eighty-four".
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