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5006110590 = 2325139414547
BaseRepresentation
bin1001010100110001…
…10010111101111110
3110220212212202201100
410222120302331332
540223031014330
62144430153530
7235025144415
oct45230627576
913825782640
105006110590
112139900a88
12b786528a6
1361a1bb020
14356c1247c
151e4762060
hex12a632f7e

5006110590 has 96 divisors (see below), whose sum is σ = 14035091616. Its totient is φ = 1230693120.

The previous prime is 5006110589. The next prime is 5006110591. The reversal of 5006110590 is 950116005.

5006110590 is a `hidden beast` number, since 5 + 0 + 0 + 61 + 10 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (5006110589) and next prime (5006110591).

It is a super-2 number, since 2×50061105902 = 50122286478620296200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006110591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098697 + ... + 1103243.

It is an arithmetic number, because the mean of its divisors is an integer number (146198871).

Almost surely, 25006110590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006110590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017545808).

5006110590 is an abundant number, since it is smaller than the sum of its proper divisors (9028981026).

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

5006110590 is a wasteful number, since it uses less digits than its factorization.

5006110590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 5006110590 is about 70753.8733215363. The cubic root of 5006110590 is about 1710.6722605558.

Adding to 5006110590 its reverse (950116005), we get a palindrome (5956226595).

The spelling of 5006110590 in words is "five billion, six million, one hundred ten thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 941 1170 1882 2823 4547 4705 5646 8469 9094 9410 12233 13641 14115 16938 22735 24466 27282 28230 36699 40923 42345 45470 59111 61165 68205 73398 81846 84690 110097 118222 122330 136410 177333 183495 204615 220194 295555 354666 366990 409230 531999 550485 591110 886665 1063998 1100970 1773330 2659995 4278727 5319990 8557454 12836181 21393635 25672362 38508543 42787270 55623451 64180905 77017086 111246902 128361810 166870353 192542715 278117255 333740706 385085430 500611059 556234510 834351765 1001222118 1668703530 2503055295 5006110590