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5026056570 = 2325617312541
BaseRepresentation
bin1001010111001001…
…11000100101111010
3110222021102010110100
410223210320211322
540243132302240
62150421500230
7235356530103
oct45344704572
913867363410
105026056570
11214a094767
12b83271676
13621382992
143597253aa
151e63a1e30
hex12b93897a

5026056570 has 96 divisors (see below), whose sum is σ = 13464990864. Its totient is φ = 1300147200.

The previous prime is 5026056569. The next prime is 5026056571. The reversal of 5026056570 is 756506205.

5026056570 is a `hidden beast` number, since 5 + 0 + 26 + 0 + 565 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (5026056569) and next prime (5026056571).

It can be written as a sum of positive squares in 8 ways, for example, as 1842727329 + 3183329241 = 42927^2 + 56421^2 .

It is a super-3 number, since 3×50260565703 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5026056571) 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 47 ways as a sum of consecutive naturals, for example, 394500 + ... + 407040.

Almost surely, 25026056570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5026056570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732495432).

5026056570 is an abundant number, since it is smaller than the sum of its proper divisors (8438934294).

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

5026056570 is a wasteful number, since it uses less digits than its factorization.

5026056570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5026056570 is about 70894.6864722597. The cubic root of 5026056570 is about 1712.9412088525.

The spelling of 5026056570 in words is "five billion, twenty-six million, fifty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 73 90 122 146 183 219 305 365 366 438 549 610 657 730 915 1095 1098 1314 1830 2190 2745 3285 4453 5490 6570 8906 12541 13359 22265 25082 26718 37623 40077 44530 62705 66795 75246 80154 112869 125410 133590 188115 200385 225738 376230 400770 564345 765001 915493 1128690 1530002 1830986 2295003 2746479 3825005 4577465 4590006 5492958 6885009 7650010 8239437 9154930 11475015 13732395 13770018 16478874 22950030 27464790 34425045 41197185 55845073 68850090 82394370 111690146 167535219 279225365 335070438 502605657 558450730 837676095 1005211314 1675352190 2513028285 5026056570