| Base | Representation |
|---|---|
| bin | 111111100111011… |
| … | …1101000101000000 |
| 3 | 12111202200021020100 |
| 4 | 1333032331011000 |
| 5 | 13332431022444 |
| 6 | 551452242400 |
| 7 | 103620012144 |
| oct | 17716750500 |
| 9 | 5452607210 |
| 10 | 2134626624 |
| 11 | 9a5a39639 |
| 12 | 4b6a70400 |
| 13 | 2803229a0 |
| 14 | 163701224 |
| 15 | c7606e69 |
| hex | 7f3bd140 |
2134626624 has 336 divisors, whose sum is σ = 7164415440. Its totient is φ = 601620480.
The previous prime is 2134626601. The next prime is 2134626631. The reversal of 2134626624 is 4266264312.
2134626624 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 6 + 26 + 624 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 15681600 + 2118945024 = 3960^2 + 46032^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 5218932 + ... + 5219340.
It is an arithmetic number, because the mean of its divisors is an integer number (21322665).
Almost surely, 22134626624 is an apocalyptic number.
2134626624 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 2134626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582207720).
2134626624 is an abundant number, since it is smaller than the sum of its proper divisors (5029788816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2134626624 is a wasteful number, since it uses less digits than its factorization.
2134626624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498 (or 485 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 2134626624 is about 46202.0196961129. The cubic root of 2134626624 is about 1287.5792640929.
The spelling of 2134626624 in words is "two billion, one hundred thirty-four million, six hundred twenty-six thousand, six hundred twenty-four".
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