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4988690784 = 253273114591
BaseRepresentation
bin1001010010101100…
…10110000101100000
3110212200002202020100
410221112112011200
540204101101114
62143004542400
7234424113000
oct45126260540
913780082210
104988690784
11212aa93250
12b72851a00
136166cc14c
1435479a000
151e2e70909
hex129596160

4988690784 has 288 divisors, whose sum is σ = 18052070400. Its totient is φ = 1295481600.

The previous prime is 4988690771. The next prime is 4988690801. The reversal of 4988690784 is 4870968894.

4988690784 is a `hidden beast` number, since 498 + 8 + 69 + 0 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084329 + ... + 1088919.

It is an arithmetic number, because the mean of its divisors is an integer number (62680800).

Almost surely, 24988690784 is an apocalyptic number.

4988690784 is a gapful number since it is divisible by the number (44) 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 4988690784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026035200).

4988690784 is an abundant number, since it is smaller than the sum of its proper divisors (13063379616).

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

4988690784 is a wasteful number, since it uses less digits than its factorization.

4988690784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 4988690784 is about 70630.6646153071. The cubic root of 4988690784 is about 1708.6857409505.

The spelling of 4988690784 in words is "four billion, nine hundred eighty-eight million, six hundred ninety thousand, seven hundred eighty-four".