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285280676352 = 293371721012
BaseRepresentation
bin1000010011011000000…
…11011010101000000000
31000021100200220220122000
410021230003122220000
514133223323120402
6335020042544000
726416343511330
oct4115403325000
91007320826560
10285280676352
11aaa94560611
1247357b08000
1320b954a6049
14db443010c0
15764a33cc1c
hex426c0daa00

285280676352 has 720 divisors, whose sum is σ = 1035446554560. Its totient is φ = 75954585600.

The previous prime is 285280676347. The next prime is 285280676371. The reversal of 285280676352 is 253676082582.

It is a happy number.

285280676352 is a `hidden beast` number, since 2 + 8 + 5 + 280 + 6 + 7 + 6 + 352 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 2824561102 + ... + 2824561202.

Almost surely, 2285280676352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285280676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517723277280).

285280676352 is an abundant number, since it is smaller than the sum of its proper divisors (750165878208).

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

285280676352 is an equidigital number, since it uses as much as digits as its factorization.

285280676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 285280676352 in words is "two hundred eighty-five billion, two hundred eighty million, six hundred seventy-six thousand, three hundred fifty-two".