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4985386560 = 2632571122481
BaseRepresentation
bin1001010010010011…
…01111011001000000
3110212102212212200200
410221021233121000
540202224332220
62142410045200
7234354041460
oct45111573100
913772785620
104985386560
112129136790
12b71719800
13615b1319b
14354179ba0
151e2a1b890
hex12926f640

4985386560 has 336 divisors, whose sum is σ = 21379842432. Its totient is φ = 1035878400.

The previous prime is 4985386559. The next prime is 4985386583. The reversal of 4985386560 is 656835894.

It is a happy number.

4985386560 is a `hidden beast` number, since 49 + 8 + 5 + 38 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4985386497 and 4985386506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210520 + ... + 233000.

Almost surely, 24985386560 is an apocalyptic number.

4985386560 is a gapful number since it is divisible by the number (40) 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 4985386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689921216).

4985386560 is an abundant number, since it is smaller than the sum of its proper divisors (16394455872).

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

4985386560 is a wasteful number, since it uses less digits than its factorization.

4985386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 22509 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4985386560 is about 70607.2698806575. The cubic root of 4985386560 is about 1708.3084123326.

The spelling of 4985386560 in words is "four billion, nine hundred eighty-five million, three hundred eighty-six thousand, five hundred sixty".