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4975809696 = 253311131723103
BaseRepresentation
bin1001010001001010…
…01101010010100000
3110211202212022201000
410220211031102200
540142301402241
62141424512000
7234206453544
oct45045152240
913752768630
104975809696
112123795520
12b6a47b600
13613b3c0c0
14352ba5a24
151e1c78eb6
hex12894d4a0

4975809696 has 768 divisors, whose sum is σ = 19020718080. Its totient is φ = 1240842240.

The previous prime is 4975809689. The next prime is 4975809701. The reversal of 4975809696 is 6969085794.

It is a happy number.

4975809696 is a `hidden beast` number, since 49 + 7 + 580 + 9 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×49758096962 = 49517364261615224832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48308781 + ... + 48308883.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 24975809696 is an apocalyptic number.

4975809696 is a gapful number since it is divisible by the number (46) 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 4975809696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

4975809696 is an abundant number, since it is smaller than the sum of its proper divisors (14044908384).

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

4975809696 is a wasteful number, since it uses less digits than its factorization.

4975809696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 4975809696 is about 70539.4194475685. The cubic root of 4975809696 is about 1707.2138315836.

The spelling of 4975809696 in words is "four billion, nine hundred seventy-five million, eight hundred nine thousand, six hundred ninety-six".