Search a number
-
+
2181981618036 = 2232118389656819
BaseRepresentation
bin11111110000001000001…
…111010011111101110100
321201121002001100220010100
4133300020033103331310
5241222144243234121
64350215530354100
7313433352510153
oct37601017237564
97647061326110
102181981618036
11771411814a20
122b2a7128b930
1312a9b58b816c
147787391b59a
153bb59667026
hex1fc083d3f74

2181981618036 has 72 divisors (see below), whose sum is σ = 6017706021600. Its totient is φ = 661126726080.

The previous prime is 2181981618013. The next prime is 2181981618043. The reversal of 2181981618036 is 6308161891812.

It is a happy number.

2181981618036 is a `hidden beast` number, since 2 + 1 + 8 + 19 + 8 + 1 + 618 + 0 + 3 + 6 = 666.

It is a super-2 number, since 2×21819816180362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2993635 + ... + 3650453.

It is an arithmetic number, because the mean of its divisors is an integer number (83579250300).

Almost surely, 22181981618036 is an apocalyptic number.

It is an amenable number.

2181981618036 is an abundant number, since it is smaller than the sum of its proper divisors (3835724403564).

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

2181981618036 is a wasteful number, since it uses less digits than its factorization.

2181981618036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665229 (or 665224 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 2181981618036 in words is "two trillion, one hundred eighty-one billion, nine hundred eighty-one million, six hundred eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8389 16778 25167 33556 50334 75501 92279 100668 151002 184558 276837 302004 369116 553674 656819 830511 1107348 1313638 1661022 1970457 2627276 3322044 3940914 5911371 7225009 7881828 11822742 14450018 21675027 23645484 28900036 43350054 65025081 86700108 130050162 260100324 5510054591 11020109182 16530163773 22040218364 33060327546 49590491319 60610600501 66120655092 99180982638 121221201002 181831801503 198361965276 242442402004 363663603006 545495404509 727327206012 1090990809018 2181981618036