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285330487680 = 27335731471619
BaseRepresentation
bin1000010011011110000…
…01011011100110000000
31000021111011122120221000
410021233001123212000
514133324101101210
6335025022332000
726420520062010
oct4115701334600
91007434576830
10285330487680
1110000a6925a7
124737072a000
1320ba28c65c4
14db4ab89c40
15764e8cbac0
hex426f05b980

285330487680 has 1024 divisors, whose sum is σ = 1218281472000. Its totient is φ = 61733560320.

The previous prime is 285330487679. The next prime is 285330487681. The reversal of 285330487680 is 86784033582.

285330487680 is a `hidden beast` number, since 2 + 8 + 53 + 30 + 487 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (285330487679) and next prime (285330487681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285330487681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176237911 + ... + 176239529.

It is an arithmetic number, because the mean of its divisors is an integer number (1189728000).

Almost surely, 2285330487680 is an apocalyptic number.

285330487680 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 285330487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609140736000).

285330487680 is an abundant number, since it is smaller than the sum of its proper divisors (932950984320).

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

285330487680 is a wasteful number, since it uses less digits than its factorization.

285330487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 285330487680 in words is "two hundred eighty-five billion, three hundred thirty million, four hundred eighty-seven thousand, six hundred eighty".