Search a number
-
+
18280211814 = 23323327823
BaseRepresentation
bin10001000001100101…
…011110010101100110
31202011222102222101000
4101001211132111212
5244414213234224
612221532214130
71215000144114
oct210145362546
952158388330
1018280211814
117830780777
12366200a346
1319542c04a7
14c55b2cab4
1571eca90c9
hex44195e566

18280211814 has 64 divisors (see below), whose sum is σ = 42470553600. Its totient is φ = 5828263848.

The previous prime is 18280211813. The next prime is 18280211827. The reversal of 18280211814 is 41811208281.

It is a super-2 number, since 2×182802118142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18280211813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643107 + ... + 670929.

It is an arithmetic number, because the mean of its divisors is an integer number (663602400).

Almost surely, 218280211814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18280211814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235276800).

18280211814 is an abundant number, since it is smaller than the sum of its proper divisors (24190341786).

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

18280211814 is an equidigital number, since it uses as much as digits as its factorization.

18280211814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27903 (or 27851 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 18280211814 in words is "eighteen billion, two hundred eighty million, two hundred eleven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 12167 14283 24334 27823 28566 36501 55646 73002 83469 109503 166938 219006 250407 328509 500814 639929 657018 751221 1279858 1502442 1919787 3839574 5759361 11518722 14718367 17278083 29436734 34556166 44155101 88310202 132465303 264930606 338522441 397395909 677044882 794791818 1015567323 2031134646 3046701969 6093403938 9140105907 18280211814