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285381644640 = 253519113276919
BaseRepresentation
bin1000010011100100001…
…00100101000101100000
31000021121201220122002020
410021302010211011200
514133430200112030
6335034051021440
726422010645451
oct4116204450540
91007551818066
10285381644640
11100036553584
124738589a880
1320bb03984b1
14db538a5128
157654134510
hex4272125160

285381644640 has 192 divisors, whose sum is σ = 954642931200. Its totient is φ = 71458136064.

The previous prime is 285381644633. The next prime is 285381644677. The reversal of 285381644640 is 46446183582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892101 + ... + 1169019.

It is an arithmetic number, because the mean of its divisors is an integer number (4972098600).

Almost surely, 2285381644640 is an apocalyptic number.

285381644640 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 285381644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477321465600).

285381644640 is an abundant number, since it is smaller than the sum of its proper divisors (669261286560).

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

285381644640 is a wasteful number, since it uses less digits than its factorization.

285381644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277069 (or 277061 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 285381644640 in words is "two hundred eighty-five billion, three hundred eighty-one million, six hundred forty-four thousand, six hundred forty".