Search a number
-
+
286783930368 = 21532131931127
BaseRepresentation
bin1000010110001011010…
…01111000000000000000
31000102020110120010110200
410023011221320000000
514144313141232433
6335425142525200
726501526121155
oct4130551700000
91012213503420
10286783930368
11100696063601
12476b7436800
1321074a67470
14dc47c1022c
1576d72cb613
hex42c5a78000

286783930368 has 768 divisors, whose sum is σ = 977090150400. Its totient is φ = 80263249920.

The previous prime is 286783930339. The next prime is 286783930373. The reversal of 286783930368 is 863039387682.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258141121 + ... + 2258141247.

It is an arithmetic number, because the mean of its divisors is an integer number (1272252800).

Almost surely, 2286783930368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286783930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488545075200).

286783930368 is an abundant number, since it is smaller than the sum of its proper divisors (690306220032).

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

286783930368 is a wasteful number, since it uses less digits than its factorization.

286783930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 286783930368 in words is "two hundred eighty-six billion, seven hundred eighty-three million, nine hundred thirty thousand, three hundred sixty-eight".