Search a number
-
+
2413220947065 = 335107883189199
BaseRepresentation
bin100011000111011111001…
…011010110010001111001
322112200221111221220211000
4203013133023112101321
5304014234030301230
65044341323555213
7336230602413165
oct43073713262171
98480844856730
102413220947065
11850494348415
1232b84698bb09
13146747c83bc6
1484b2c893ca5
1542b9041db60
hex231df2d6479

2413220947065 has 64 divisors (see below), whose sum is σ = 4335192576000. Its totient is φ = 1273571957952.

The previous prime is 2413220947043. The next prime is 2413220947087. The reversal of 2413220947065 is 5607490223142.

2413220947065 is a `hidden beast` number, since 2 + 413 + 2 + 20 + 94 + 70 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (2413220947043) and next prime (2413220947087).

It is not a de Polignac number, because 2413220947065 - 27 = 2413220946937 is a prime.

It is a super-2 number, since 2×24132209470652 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2413220947065.

It is an unprimeable number.

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, 12660336 + ... + 12849534.

It is an arithmetic number, because the mean of its divisors is an integer number (67737384000).

Almost surely, 22413220947065 is an apocalyptic number.

It is an amenable number.

2413220947065 is a deficient number, since it is larger than the sum of its proper divisors (1921971628935).

2413220947065 is a wasteful number, since it uses less digits than its factorization.

2413220947065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190203 (or 190197 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2413220947065 in words is "two trillion, four hundred thirteen billion, two hundred twenty million, nine hundred forty-seven thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 107 135 321 535 883 963 1605 2649 2889 4415 4815 7947 13245 14445 23841 39735 94481 119205 189199 283443 472405 567597 850329 945995 1417215 1702791 2550987 2837985 4251645 5108373 8513955 12754935 20244293 25541865 60732879 101221465 167062717 182198637 303664395 501188151 546595911 835313585 910993185 1503564453 2505940755 2732979555 4510693359 7517822265 17875710719 22553466795 53627132157 89378553595 160881396471 268135660785 482644189413 804406982355 2413220947065