Search a number
-
+
2818472950413 = 324115769676983
BaseRepresentation
bin101001000000111010000…
…101000011101010001101
3100222102222020002200222100
4221000322011003222031
5332134213033403123
65554442200505313
7410425246536261
oct51007205035215
910872866080870
102818472950413
1199734255964a
123962a4a7b239
13175a1c715323
149a5b43960a1
154d4ace4b643
hex2903a143a8d

2818472950413 has 48 divisors (see below), whose sum is σ = 4198190121216. Its totient is φ = 1820954753280.

The previous prime is 2818472950409. The next prime is 2818472950421. The reversal of 2818472950413 is 3140592748182.

2818472950413 is a `hidden beast` number, since 2 + 81 + 8 + 47 + 2 + 9 + 504 + 13 = 666.

It is not a de Polignac number, because 2818472950413 - 22 = 2818472950409 is a prime.

It is a super-2 number, since 2×28184729504132 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2818472950413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818472950453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403615720 + ... + 403622702.

It is an arithmetic number, because the mean of its divisors is an integer number (87462294192).

Almost surely, 22818472950413 is an apocalyptic number.

It is an amenable number.

2818472950413 is a deficient number, since it is larger than the sum of its proper divisors (1379717170803).

2818472950413 is a wasteful number, since it uses less digits than its factorization.

2818472950413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14154 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

It can be divided in two parts, 2818472 and 950413, that added together give a triangular number (3768885 = T2745).

The spelling of 2818472950413 in words is "two trillion, eight hundred eighteen billion, four hundred seventy-two million, nine hundred fifty thousand, four hundred thirteen".

Divisors: 1 3 9 41 123 157 369 471 1413 6437 6967 6983 19311 20901 20949 57933 62703 62847 285647 286303 856941 858909 1093819 1096331 2570823 2576727 3281457 3288993 9844371 9866979 44846579 44949571 48650561 134539737 134848713 145951683 403619211 404546139 437855049 1994673001 5984019003 7638138077 17952057009 22914414231 68743242693 313163661157 939490983471 2818472950413