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285896042640 = 24335132783191
BaseRepresentation
bin1000010100100001011…
…10110110100010010000
31000022221120211202111000
410022100232312202100
514141003341331030
6335201104222000
726440525160205
oct4122056664220
91008846752430
10285896042640
1110027a95439a
12474aa00a900
1320c62b21c00
14dba1d27cac
157684393860
hex4290bb6890

285896042640 has 240 divisors, whose sum is σ = 1066331571840. Its totient is φ = 70374320640.

The previous prime is 285896042633. The next prime is 285896042647. The reversal of 285896042640 is 46240698582.

285896042640 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 9 + 604 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285896042633) and next prime (285896042647).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (285896042647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26556 + ... + 756635.

It is an arithmetic number, because the mean of its divisors is an integer number (4443048216).

Almost surely, 2285896042640 is an apocalyptic number.

285896042640 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 285896042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533165785920).

285896042640 is an abundant number, since it is smaller than the sum of its proper divisors (780435529200).

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

285896042640 is a wasteful number, since it uses less digits than its factorization.

285896042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783239 (or 783214 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 285896042640 in words is "two hundred eighty-five billion, eight hundred ninety-six million, forty-two thousand, six hundred forty".