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5001225432 = 2337235324421
BaseRepresentation
bin1001010100001100…
…01010010011011000
3110220112200120112120
410222012022103120
540220303203212
62144133341240
7234635500110
oct45206122330
913815616476
105001225432
112137074765
12b76a97820
1361919a5b8
14356300040
151e40e988c
hex12a18a4d8

5001225432 has 128 divisors (see below), whose sum is σ = 15192437760. Its totient is φ = 1340951040.

The previous prime is 5001225431. The next prime is 5001225457. The reversal of 5001225432 is 2345221005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001225431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 192582 + ... + 217002.

It is an arithmetic number, because the mean of its divisors is an integer number (118690920).

Almost surely, 25001225432 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 5001225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596218880).

5001225432 is an abundant number, since it is smaller than the sum of its proper divisors (10191212328).

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

5001225432 is a wasteful number, since it uses less digits than its factorization.

5001225432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5001225432 is about 70719.3427005653. The cubic root of 5001225432 is about 1710.1156325486.

Adding to 5001225432 its reverse (2345221005), we get a palindrome (7346446437).

The spelling of 5001225432 in words is "five billion, one million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 53 56 69 84 92 106 138 159 161 168 184 212 276 318 322 371 424 483 552 636 644 742 966 1113 1219 1272 1288 1484 1932 2226 2438 2968 3657 3864 4452 4876 7314 8533 8904 9752 14628 17066 24421 25599 29256 34132 48842 51198 68264 73263 97684 102396 146526 170947 195368 204792 293052 341894 512841 561683 586104 683788 1025682 1123366 1294313 1367576 1685049 2051364 2246732 2588626 3370098 3882939 3931781 4102728 4493464 5177252 6740196 7765878 7863562 9060191 10354504 11795343 13480392 15531756 15727124 18120382 23590686 27180573 29769199 31063512 31454248 36240764 47181372 54361146 59538398 72481528 89307597 94362744 108722292 119076796 178615194 208384393 217444584 238153592 357230388 416768786 625153179 714460776 833537572 1250306358 1667075144 2500612716 5001225432