Search a number
-
+
286215812480 = 275132312171229
BaseRepresentation
bin1000010101000111100…
…10101011010110000000
31000100202212112202020102
410022203302223112000
514142132221444410
6335252530101532
726451460156613
oct4124362532600
91010685482212
10286215812480
11100424401194
124757911a8a8
1320cb4152430
14dbd25a617a
1576a24aa2a5
hex42a3cab580

286215812480 has 256 divisors, whose sum is σ = 770163811200. Its totient is φ = 100919672832.

The previous prime is 286215812479. The next prime is 286215812543. The reversal of 286215812480 is 84218512682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232884506 + ... + 232885734.

Almost surely, 2286215812480 is an apocalyptic number.

286215812480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286215812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385081905600).

286215812480 is an abundant number, since it is smaller than the sum of its proper divisors (483947998720).

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

286215812480 is a wasteful number, since it uses less digits than its factorization.

286215812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The spelling of 286215812480 in words is "two hundred eighty-six billion, two hundred fifteen million, eight hundred twelve thousand, four hundred eighty".