Search a number
-
+
2180368818 = 232317353527
BaseRepresentation
bin1000000111110101…
…1100100110110010
312121221202012201200
42001331130212302
513431133300233
61000204512030
7105013554255
oct20175344662
95557665650
102180368818
11a19841401
1250a24b616
1328994a084
1416980b09c
15cb640313
hex81f5c9b2

2180368818 has 48 divisors (see below), whose sum is σ = 4943417856. Its totient is φ = 693696960.

The previous prime is 2180368783. The next prime is 2180368829. The reversal of 2180368818 is 8188630812.

2180368818 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13971 + ... + 67497.

It is an arithmetic number, because the mean of its divisors is an integer number (102987872).

Almost surely, 22180368818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180368818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471708928).

2180368818 is an abundant number, since it is smaller than the sum of its proper divisors (2763049038).

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

2180368818 is a wasteful number, since it uses less digits than its factorization.

2180368818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53639 (or 53636 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 2180368818 is about 46694.4195595148. The cubic root of 2180368818 is about 1296.7113757146.

The spelling of 2180368818 in words is "two billion, one hundred eighty million, three hundred sixty-eight thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 1314 2263 4526 6789 13578 20367 40734 53527 107054 160581 321162 481743 963486 1659337 3318674 3907471 4978011 7814942 9956022 11722413 14934033 23444826 29868066 35167239 70334478 121131601 242263202 363394803 726789606 1090184409 2180368818