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5006573292 = 2237476120789
BaseRepresentation
bin1001010100110101…
…00011111011101100
3110220220202021102110
410222122203323230
540223140321132
62144444124020
7235032112410
oct45232437354
913826667373
105006573292
11213a097686
12b78836610
1361a320806
14356cd2d40
151e48041cc
hex12a6a3eec

5006573292 has 96 divisors (see below), whose sum is σ = 13859112960. Its totient is φ = 1376997120.

The previous prime is 5006573281. The next prime is 5006573309. The reversal of 5006573292 is 2923756005.

It is a super-2 number, since 2×50065732922 = 50131552256335434528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5006573292.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230434 + ... + 251222.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 25006573292 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 5006573292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

5006573292 is an abundant number, since it is smaller than the sum of its proper divisors (8852539668).

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

5006573292 is a wasteful number, since it uses less digits than its factorization.

5006573292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20911 (or 20909 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 5006573292 is about 70757.1430457731. The cubic root of 5006573292 is about 1710.7249632862.

The spelling of 5006573292 in words is "five billion, six million, five hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 61 84 94 122 141 183 188 244 282 329 366 427 564 658 732 854 987 1281 1316 1708 1974 2562 2867 3948 5124 5734 8601 11468 17202 20069 20789 34404 40138 41578 60207 62367 80276 83156 120414 124734 145523 240828 249468 291046 436569 582092 873138 977083 1268129 1746276 1954166 2536258 2931249 3804387 3908332 5072516 5862498 6839581 7608774 8876903 11724996 13679162 15217548 17753806 20518743 26630709 27358324 35507612 41037486 53261418 59602063 82074972 106522836 119204126 178806189 238408252 357612378 417214441 715224756 834428882 1251643323 1668857764 2503286646 5006573292