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285926423040 = 293455923371
BaseRepresentation
bin1000010100100101000…
…10101111101000000000
31000100000201000020120000
410022102202233220000
514141034131014130
6335204111320000
726441344331616
oct4122242575000
91010021006500
10285926423040
11100296014665
12474b8220000
1320c691cb08b
14dba5d956b6
157686d95260
hex42928afa00

285926423040 has 400 divisors, whose sum is σ = 1041500259360. Its totient is φ = 74951516160.

The previous prime is 285926423011. The next prime is 285926423059. The reversal of 285926423040 is 40324629582.

285926423040 is a `hidden beast` number, since 2 + 85 + 9 + 264 + 2 + 304 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12222555 + ... + 12245925.

Almost surely, 2285926423040 is an apocalyptic number.

285926423040 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 285926423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520750129680).

285926423040 is an abundant number, since it is smaller than the sum of its proper divisors (755573836320).

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

285926423040 is an equidigital number, since it uses as much as digits as its factorization.

285926423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23465 (or 23440 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 285926423040 in words is "two hundred eighty-five billion, nine hundred twenty-six million, four hundred twenty-three thousand, forty".