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5005305522 = 2337432931051
BaseRepresentation
bin1001010100101011…
…01110011010110010
3110220211100212101000
410222111232122302
540222324234042
62144401022430
7235015252320
oct45225563262
913824325330
105005305522
112139401138
12b78324a16
13619c98759
14356a82d10
151e465374c
hex12a56e6b2

5005305522 has 128 divisors (see below), whose sum is σ = 13064325120. Its totient is φ = 1390737600.

The previous prime is 5005305521. The next prime is 5005305523. The reversal of 5005305522 is 2255035005.

It is an interprime number because it is at equal distance from previous prime (5005305521) and next prime (5005305523).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5005305521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4761897 + ... + 4762947.

It is an arithmetic number, because the mean of its divisors is an integer number (102065040).

Almost surely, 25005305522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005305522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532162560).

5005305522 is an abundant number, since it is smaller than the sum of its proper divisors (8059019598).

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

5005305522 is a wasteful number, since it uses less digits than its factorization.

5005305522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 5005305522 is about 70748.1838777505. The cubic root of 5005305522 is about 1710.5805538769.

The spelling of 5005305522 in words is "five billion, five million, three hundred five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 293 301 378 387 586 602 774 879 903 1051 1161 1758 1806 2051 2102 2322 2637 2709 3153 4102 5274 5418 6153 6306 7357 7911 8127 9459 12306 12599 14714 15822 16254 18459 18918 22071 25198 28377 36918 37797 44142 45193 55377 56754 66213 75594 88193 90386 110754 113391 132426 135579 176386 198639 226782 264579 271158 307943 316351 340173 397278 406737 529158 615886 632702 680346 793737 813474 923829 949053 1220211 1587474 1847658 1898106 2155601 2381211 2440422 2771487 2847159 4311202 4762422 5542974 5694318 6466803 8314461 8541477 12933606 13241549 16628922 17082954 19400409 26483098 38800818 39724647 58201227 79449294 92690843 116402454 119173941 185381686 238347882 278072529 357521823 556145058 715043646 834217587 1668435174 2502652761 5005305522