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285944421360 = 2435131719927091
BaseRepresentation
bin1000010100100111001…
…11011001101111110000
31000100001221212122121110
410022103213121233300
514141103232440420
6335205553153320
726441653323063
oct4122347315760
91010057778543
10285944421360
111002a5198004
124750225b840
1320c6cb60380
14dba851c8da
15768874cee0
hex42939d9bf0

285944421360 has 320 divisors, whose sum is σ = 1015884979200. Its totient is φ = 65910620160.

The previous prime is 285944421349. The next prime is 285944421443. The reversal of 285944421360 is 63124449582.

285944421360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10541415 + ... + 10568505.

It is an arithmetic number, because the mean of its divisors is an integer number (3174640560).

Almost surely, 2285944421360 is an apocalyptic number.

285944421360 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 285944421360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507942489600).

285944421360 is an abundant number, since it is smaller than the sum of its proper divisors (729940557840).

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

285944421360 is a wasteful number, since it uses less digits than its factorization.

285944421360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27336 (or 27330 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 285944421360 in words is "two hundred eighty-five billion, nine hundred forty-four million, four hundred twenty-one thousand, three hundred sixty".