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5163945696 = 253471321893
BaseRepresentation
bin1001100111100101…
…11000111011100000
3111022212212121210000
410303302320323200
541033432230241
62212225140000
7241652546160
oct46362707340
914285777700
105163945696
11220aa04918
12100148a600
13643b01290
1436db7a5a0
1520353ceb6
hex133cb8ee0

5163945696 has 240 divisors, whose sum is σ = 18692571744. Its totient is φ = 1361857536.

The previous prime is 5163945617. The next prime is 5163945719. The reversal of 5163945696 is 6965493615.

5163945696 is a `hidden beast` number, since 516 + 39 + 4 + 5 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224926 + ... + 246818.

Almost surely, 25163945696 is an apocalyptic number.

5163945696 is a gapful number since it is divisible by the number (56) 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 5163945696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346285872).

5163945696 is an abundant number, since it is smaller than the sum of its proper divisors (13528626048).

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

5163945696 is a wasteful number, since it uses less digits than its factorization.

5163945696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21935 (or 21918 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 5163945696 is about 71860.5990512186. The cubic root of 5163945696 is about 1728.4648633580.

The spelling of 5163945696 in words is "five billion, one hundred sixty-three million, nine hundred forty-five thousand, six hundred ninety-six".