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285381041680 = 2457509609003
BaseRepresentation
bin1000010011100100000…
…10010001111000010000
31000021121200202222222101
410021302002101320100
514133430021313210
6335034030050144
726422002554530
oct4116202217020
91007550688871
10285381041680
11100036181569
1247385649954
1320bb0216c07
14db537894c0
157654065a3a
hex4272091e10

285381041680 has 40 divisors (see below), whose sum is σ = 758298197952. Its totient is φ = 97844928384.

The previous prime is 285381041657. The next prime is 285381041753. The reversal of 285381041680 is 86140183582.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 285381041680.

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 7 ways as a sum of consecutive naturals, for example, 254803942 + ... + 254805061.

Almost surely, 2285381041680 is an apocalyptic number.

285381041680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285381041680 is an abundant number, since it is smaller than the sum of its proper divisors (472917156272).

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

285381041680 is a wasteful number, since it uses less digits than its factorization.

285381041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509609023 (or 509609017 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 285381041680 in words is "two hundred eighty-five billion, three hundred eighty-one million, forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 509609003 1019218006 2038436012 2548045015 3567263021 4076872024 5096090030 7134526042 8153744048 10192180060 14269052084 17836315105 20384360120 28538104168 35672630210 40768720240 57076208336 71345260420 142690520840 285381041680