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5258384901 = 3271119139727
BaseRepresentation
bin1001110010110110…
…01001011000000101
3111120110120122000100
410321123021120011
541232121304101
62225441234313
7244210351140
oct47133113005
914513518010
105258384901
112259248450
121029032999
1365a548973
1437c521057
1520b994e86
hex1396c9605

5258384901 has 48 divisors (see below), whose sum is σ = 9519464448. Its totient is φ = 2717258400.

The previous prime is 5258384897. The next prime is 5258384927. The reversal of 5258384901 is 1094838525.

5258384901 is a `hidden beast` number, since 525 + 8 + 38 + 4 + 90 + 1 = 666.

It is not a de Polignac number, because 5258384901 - 22 = 5258384897 is a prime.

It is a super-2 number, since 2×52583849012 = 55301223534129559602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258384101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112500 + ... + 152226.

It is an arithmetic number, because the mean of its divisors is an integer number (198322176).

Almost surely, 25258384901 is an apocalyptic number.

It is an amenable number.

5258384901 is a deficient number, since it is larger than the sum of its proper divisors (4261079547).

5258384901 is a wasteful number, since it uses less digits than its factorization.

5258384901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39942 (or 39939 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5258384901 is about 72514.7219604406. The cubic root of 5258384901 is about 1738.9381045505.

The spelling of 5258384901 in words is "five billion, two hundred fifty-eight million, three hundred eighty-four thousand, nine hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 191 231 573 693 1337 1719 2101 4011 6303 12033 14707 18909 39727 44121 119181 132363 278089 357543 436997 834267 1310991 2502801 3058979 3932973 7587857 9176937 22763571 27530811 53114999 68290713 83466427 159344997 250399281 478034991 584264989 751197843 1752794967 5258384901