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4285645056 = 283273111729
BaseRepresentation
bin1111111101110001…
…1100000100000000
3102001200012022210200
43333130130010000
532234111120211
61545132125200
7211126245000
oct37734340400
912050168720
104285645056
1118aa153620
129b7306800
13533b64664
142c926c000
151a139ab56
hexff71c100

4285645056 has 864 divisors, whose sum is σ = 17218656000. Its totient is φ = 1011548160.

The previous prime is 4285645043. The next prime is 4285645061. The reversal of 4285645056 is 6505465824.

4285645056 is a `hidden beast` number, since 4 + 2 + 85 + 64 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147780850 + ... + 147780878.

It is an arithmetic number, because the mean of its divisors is an integer number (19929000).

Almost surely, 24285645056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328000).

4285645056 is an abundant number, since it is smaller than the sum of its proper divisors (12933010944).

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

4285645056 is a wasteful number, since it uses less digits than its factorization.

4285645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 4285645056 is about 65464.8383179856. The cubic root of 4285645056 is about 1624.3217753205.

The spelling of 4285645056 in words is "four billion, two hundred eighty-five million, six hundred forty-five thousand, fifty-six".