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2124133398 = 2322310747951
BaseRepresentation
bin111111010011011…
…1011010000010110
312111000221011020100
41332212323100112
513322234232043
6550435314530
7103431556512
oct17646732026
95430834210
102124133398
119a0021952
124b344ba46
1327b0ba78a
1416216d142
15c6732cd3
hex7e9bb416

2124133398 has 48 divisors (see below), whose sum is σ = 4847371776. Its totient is φ = 670916400.

The previous prime is 2124133387. The next prime is 2124133411. The reversal of 2124133398 is 8933314212.

2124133398 is a `hidden beast` number, since 21 + 241 + 3 + 3 + 398 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20323 + ... + 68273.

It is an arithmetic number, because the mean of its divisors is an integer number (100986912).

Almost surely, 22124133398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124133398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423685888).

2124133398 is an abundant number, since it is smaller than the sum of its proper divisors (2723238378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124133398 is a wasteful number, since it uses less digits than its factorization.

2124133398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48089 (or 48086 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2124133398 is about 46088.3217095177. The cubic root of 2124133398 is about 1285.4660046825.

The spelling of 2124133398 in words is "two billion, one hundred twenty-four million, one hundred thirty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 69 107 138 207 214 321 414 642 963 1926 2461 4922 7383 14766 22149 44298 47951 95902 143853 287706 431559 863118 1102873 2205746 3308619 5130757 6617238 9925857 10261514 15392271 19851714 30784542 46176813 92353626 118007411 236014822 354022233 708044466 1062066699 2124133398