Search a number
-
+
65133199047 = 3731374995419
BaseRepresentation
bin111100101010001111…
…011011111011000111
320020010020121100001110
4330222033123323013
52031343044332142
645531034300103
74464030025410
oct745217337307
9206106540043
1065133199047
1125693aa1524
1210758b87633
1361b0084687
14321c508807
151a6321a99c
hexf2a3dbec7

65133199047 has 64 divisors (see below), whose sum is σ = 105451520000. Its totient is φ = 34968205440.

The previous prime is 65133199013. The next prime is 65133199069. The reversal of 65133199047 is 74099133156.

It is not a de Polignac number, because 65133199047 - 214 = 65133182663 is a prime.

It is a super-2 number, since 2×651331990472 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65133198987 and 65133199005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65133199097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12016704 + ... + 12022122.

It is an arithmetic number, because the mean of its divisors is an integer number (1647680000).

Almost surely, 265133199047 is an apocalyptic number.

65133199047 is a deficient number, since it is larger than the sum of its proper divisors (40318320953).

65133199047 is a wasteful number, since it uses less digits than its factorization.

65133199047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996.

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 65133199047 in words is "sixty-five billion, one hundred thirty-three million, one hundred ninety-nine thousand, forty-seven".

Divisors: 1 3 7 21 31 37 93 111 217 259 499 651 777 1147 1497 3441 3493 5419 8029 10479 15469 16257 18463 24087 37933 46407 55389 108283 113799 129241 167989 200503 324849 387723 503967 572353 601509 1175923 1403521 1717059 2704081 3527769 4006471 4210563 6215593 8112243 12019413 18646779 18928567 43509151 56785701 83826511 100050997 130527453 251479533 300152991 586785577 700356979 1760356731 2101070937 3101580907 9304742721 21711066349 65133199047