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285780320640 = 2733567246839
BaseRepresentation
bin1000010100010011101…
…01011010000110000000
31000022122112002110202000
410022021311122012000
514140234230230030
6335141412024000
726434621434243
oct4121165320600
91008575073660
10285780320640
111002205a4781
1247477302000
1320c44b65259
14db9080325a
157679135860
hex4289d5a180

285780320640 has 256 divisors, whose sum is σ = 1027249344000. Its totient is φ = 75070347264.

The previous prime is 285780320603. The next prime is 285780320741. The reversal of 285780320640 is 46023087582.

285780320640 is a `hidden beast` number, since 2 + 8 + 578 + 0 + 32 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034341 + ... + 1281179.

It is an arithmetic number, because the mean of its divisors is an integer number (4012692750).

Almost surely, 2285780320640 is an apocalyptic number.

285780320640 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 285780320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513624672000).

285780320640 is an abundant number, since it is smaller than the sum of its proper divisors (741469023360).

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

285780320640 is a wasteful number, since it uses less digits than its factorization.

285780320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246934 (or 246916 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 285780320640 in words is "two hundred eighty-five billion, seven hundred eighty million, three hundred twenty thousand, six hundred forty".