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284480465880 = 233513375392993
BaseRepresentation
bin1000010001111000101…
…10110110101111011000
31000012021221012000020010
410020330112312233120
514130103444402010
6334404415401520
726360456030232
oct4107426665730
91005257160203
10284480465880
11aa713896646
1247173b232a0
1320a9877b420
14daa9d1d252
1575eee73620
hex423c5b6bd8

284480465880 has 256 divisors, whose sum is σ = 961751387520. Its totient is φ = 66847113216.

The previous prime is 284480465837. The next prime is 284480465903. The reversal of 284480465880 is 88564084482.

284480465880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 284480465880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012664 + ... + 3105656.

Almost surely, 2284480465880 is an apocalyptic number.

284480465880 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 284480465880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480875693760).

284480465880 is an abundant number, since it is smaller than the sum of its proper divisors (677270921640).

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

284480465880 is a wasteful number, since it uses less digits than its factorization.

284480465880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93110 (or 93106 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 57.

The spelling of 284480465880 in words is "two hundred eighty-four billion, four hundred eighty million, four hundred sixty-five thousand, eight hundred eighty".