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5017083820 = 225737226177
BaseRepresentation
bin1001010110000101…
…01001111110101100
3110221122112021011021
410223002221332230
540233333140240
62145501303524
7235220336350
oct45302517654
913848467137
105017083820
112145016371
12b80264ba4
1361c560868
1435846b460
151e56cd54a
hex12b0a9fac

5017083820 has 72 divisors (see below), whose sum is σ = 12375701856. Its totient is φ = 1673588736.

The previous prime is 5017083811. The next prime is 5017083833. The reversal of 5017083820 is 283807105.

It is a super-2 number, since 2×50170838202 = 50342260113811584800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 178572 + ... + 204748.

It is an arithmetic number, because the mean of its divisors is an integer number (171884748).

Almost surely, 25017083820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017083820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187850928).

5017083820 is an abundant number, since it is smaller than the sum of its proper divisors (7358618036).

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

5017083820 is a wasteful number, since it uses less digits than its factorization.

5017083820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26267 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 5017083820 is about 70831.3759572691. The cubic root of 5017083820 is about 1711.9212608814.

The spelling of 5017083820 in words is "five billion, seventeen million, eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 1369 2590 2738 5180 5476 6845 9583 13690 19166 26177 27380 38332 47915 52354 95830 104708 130885 183239 191660 261770 366478 523540 732956 916195 968549 1832390 1937098 3664780 3874196 4842745 6779843 9685490 13559686 19370980 27119372 33899215 35836313 67798430 71672626 135596860 143345252 179181565 250854191 358363130 501708382 716726260 1003416764 1254270955 2508541910 5017083820