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4963368960 = 2163451117
BaseRepresentation
bin1001001111101011…
…10000000000000000
3110210220110021020000
410213311300000000
540131110301320
62140302120000
7233665640304
oct44765600000
913726407200
104963368960
112117768620
12b66280000
136113a4614
14351287d04
151e0b1cc90
hex127d70000

4963368960 has 680 divisors, whose sum is σ = 20554029936. Its totient is φ = 1132462080.

The previous prime is 4963368953. The next prime is 4963368961. The reversal of 4963368960 is 698633694.

It is a happy number.

4963368960 is a `hidden beast` number, since 496 + 3 + 3 + 68 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (680).

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

It is a junction number, because it is equal to n+sod(n) for n = 4963368897 and 4963368906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4963368961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291962872 + ... + 291962888.

Almost surely, 24963368960 is an apocalyptic number.

4963368960 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 4963368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277014968).

4963368960 is an abundant number, since it is smaller than the sum of its proper divisors (15590660976).

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

4963368960 is an equidigital number, since it uses as much as digits as its factorization.

4963368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 4963368960 is about 70451.1813953464. The cubic root of 4963368960 is about 1705.7898273585.

The spelling of 4963368960 in words is "four billion, nine hundred sixty-three million, three hundred sixty-eight thousand, nine hundred sixty".