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285425199504 = 24322114
BaseRepresentation
bin1000010011101001010…
…10101110100110010000
31000021201202212110010100
410021310222232212100
514134022322341004
6335042244332400
726423050110534
oct4116452564620
91007652773110
10285425199504
111000590a1a35
12473983a4100
1320bb94080c3
14db595a1bc4
157657d89739
hex4274aae990

285425199504 has 75 divisors (see below), whose sum is σ = 802597916315. Its totient is φ = 94690824480.

The previous prime is 285425199487. The next prime is 285425199599. The reversal of 285425199504 is 405991524582.

The square root of 285425199504 is 534252.

It is a perfect power (a square), and thus also a powerful number.

285425199504 is a `hidden beast` number, since 2 + 8 + 5 + 42 + 5 + 1 + 99 + 504 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1352725959 + ... + 1352726169.

Almost surely, 2285425199504 is an apocalyptic number.

285425199504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285425199504 is the 534252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285425199504

285425199504 is an abundant number, since it is smaller than the sum of its proper divisors (517172716811).

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

285425199504 is an frugal number, since it uses more digits than its factorization.

285425199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 285425199504 in words is "two hundred eighty-five billion, four hundred twenty-five million, one hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 44521 89042 133563 178084 267126 356168 400689 534252 712336 801378 1068504 1602756 2137008 3205512 6411024 9393931 18787862 28181793 37575724 56363586 75151448 84545379 112727172 150302896 169090758 225454344 338181516 450908688 676363032 1352726064 1982119441 3964238882 5946358323 7928477764 11892716646 15856955528 17839074969 23785433292 31713911056 35678149938 47570866584 71356299876 95141733168 142712599752 285425199504