Search a number
-
+
83354484492 = 22324638276047
BaseRepresentation
bin100110110100001010…
…0000111111100001100
321222011010011112122100
41031220110013330030
52331202222000432
6102143103515100
76010413266526
oct1155024077414
9258133145570
1083354484492
1132394484a14
12141a32b8a90
137b250b2796
14406a498a16
15227cc3507c
hex1368507f0c

83354484492 has 72 divisors (see below), whose sum is σ = 211446982656. Its totient is φ = 27686713824.

The previous prime is 83354484481. The next prime is 83354484511. The reversal of 83354484492 is 29448445338.

It is a happy number.

83354484492 is a `hidden beast` number, since 8 + 3 + 3 + 544 + 8 + 4 + 4 + 92 = 666.

It is a super-3 number, since 3×833544844923 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13781413 + ... + 13787459.

It is an arithmetic number, because the mean of its divisors is an integer number (2936763648).

Almost surely, 283354484492 is an apocalyptic number.

It is an amenable number.

83354484492 is an abundant number, since it is smaller than the sum of its proper divisors (128092498164).

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

83354484492 is a wasteful number, since it uses less digits than its factorization.

83354484492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7342 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 83354484492 in words is "eighty-three billion, three hundred fifty-four million, four hundred eighty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 463 827 926 1389 1654 1852 2481 2778 3308 4167 4962 5556 6047 7443 8334 9924 12094 14886 16668 18141 24188 29772 36282 54423 72564 108846 217692 382901 765802 1148703 1531604 2297406 2799761 3446109 4594812 5000869 5599522 6892218 8399283 10001738 11199044 13784436 15002607 16798566 20003476 25197849 30005214 33597132 45007821 50395698 60010428 90015642 100791396 180031284 2315402347 4630804694 6946207041 9261609388 13892414082 20838621123 27784828164 41677242246 83354484492