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4808312064 = 28331924147
BaseRepresentation
bin1000111101001100…
…10000010100000000
3110102002200120011000
410132212100110000
534321411441224
62113042452000
7230103656343
oct43646202400
913362616130
104808312064
112048192026
12b22364000
135b8224a8a
1433884445a
151d21e00c9
hex11e990500

4808312064 has 432 divisors, whose sum is σ = 15699882240. Its totient is φ = 1449861120.

The previous prime is 4808312063. The next prime is 4808312087. The reversal of 4808312064 is 4602138084.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×48083120643 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808312063) 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 47 ways as a sum of consecutive naturals, for example, 102304489 + ... + 102304535.

It is an arithmetic number, because the mean of its divisors is an integer number (36342320).

Almost surely, 24808312064 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 4808312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849941120).

4808312064 is an abundant number, since it is smaller than the sum of its proper divisors (10891570176).

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

4808312064 is a wasteful number, since it uses less digits than its factorization.

4808312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4808312064 is about 69341.9935104263. The cubic root of 4808312064 is about 1687.8384727478.

The spelling of 4808312064 in words is "four billion, eight hundred eight million, three hundred twelve thousand, sixty-four".