Search a number
-
+
52034243025 = 35217431019397
BaseRepresentation
bin110000011101011110…
…111000100111010001
311222022100121102110010
4300131132320213101
51323031231234100
635523150225133
73521312524302
oct603536704721
9158270542403
1052034243025
1120081a78a36
12a1021b51a9
134ba334641b
1427389807a9
15154826d750
hexc1d7b89d1

52034243025 has 96 divisors (see below), whose sum is σ = 94141795968. Its totient is φ = 25256448000.

The previous prime is 52034242999. The next prime is 52034243029.

52034243025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52034243025 - 214 = 52034226641 is a prime.

It is a super-2 number, since 2×520342430252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52034242983 and 52034243001.

It is not an unprimeable number, because it can be changed into a prime (52034243029) 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 95 ways as a sum of consecutive naturals, for example, 5532627 + ... + 5542023.

It is an arithmetic number, because the mean of its divisors is an integer number (980643708).

Almost surely, 252034243025 is an apocalyptic number.

It is an amenable number.

52034243025 is a deficient number, since it is larger than the sum of its proper divisors (42107552943).

52034243025 is a wasteful number, since it uses less digits than its factorization.

52034243025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 52034243025 in words is "fifty-two billion, thirty-four million, two hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 15 17 25 43 51 75 85 101 129 215 255 303 425 505 645 731 1075 1275 1515 1717 2193 2525 3225 3655 4343 5151 7575 8585 9397 10965 13029 18275 21715 25755 28191 42925 46985 54825 65145 73831 108575 128775 140955 159749 221493 234925 325725 369155 404071 479247 704775 798745 949097 1107465 1212213 1845775 2020355 2396235 2847291 3993725 4745485 5537325 6061065 6869207 10101775 11981175 14236455 16134649 20607621 23727425 30305325 34346035 40811171 48403947 71182275 80673245 103038105 122433513 171730175 204055855 242019735 403366225 515190525 612167565 693789907 1020279275 1210098675 2081369721 3060837825 3468949535 10406848605 17344747675 52034243025