Search a number
-
+
564746680380190 = 257111462950135843
BaseRepresentation
bin1000000001101000100101010…
…1010001011010101100011110
32202001121020220011112021101211
42000122021111101122230132
51043010302200134131230
65321041013210055034
7226645413131550040
oct20032112521325436
92661536804467354
10564746680380190
11153a447a4182740
125340b83471a47a
131b3174ca585b79
149d65c56cc1a90
15454555572c42a
hex201a25545ab1e

564746680380190 has 64 divisors (see below), whose sum is σ = 1267466223260160. Its totient is φ = 176012903226240.

The previous prime is 564746680380143. The next prime is 564746680380191. The reversal of 564746680380190 is 91083086647465.

It is a super-2 number, since 2×5647466803801902 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564746680380191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13803592 + ... + 36332251.

It is an arithmetic number, because the mean of its divisors is an integer number (19804159738440).

Almost surely, 2564746680380190 is an apocalyptic number.

564746680380190 is an abundant number, since it is smaller than the sum of its proper divisors (702719542879970).

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

564746680380190 is a wasteful number, since it uses less digits than its factorization.

564746680380190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50150497.

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 564746680380190 in words is "five hundred sixty-four trillion, seven hundred forty-six billion, six hundred eighty million, three hundred eighty thousand, one hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 14629 29258 73145 102403 146290 160919 204806 321838 512015 804595 1024030 1126433 1609190 2252866 5632165 11264330 50135843 100271686 250679215 350950901 501358430 551494273 701901802 1102988546 1754754505 2757471365 3509509010 3860459911 5514942730 7720919822 19302299555 38604599110 733437247247 1466874494494 3667186236235 5134060730729 7334372472470 8067809719717 10268121461458 16135619439434 25670303653645 40339048598585 51340607307290 56474668038019 80678097197170 112949336076038 282373340190095 564746680380190