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2139019344 = 2432731131127
BaseRepresentation
bin111111101111110…
…1101100001010000
312112001221102220200
41333133231201100
513340042104334
6552130335200
7104002236000
oct17737554120
95461842820
102139019344
119a8469990
124b842a500
13281200227
14164126000
15c7bc3799
hex7f7ed850

2139019344 has 480 divisors, whose sum is σ = 7923302400. Its totient is φ = 533433600.

The previous prime is 2139019331. The next prime is 2139019349. The reversal of 2139019344 is 4439109312.

2139019344 is a `hidden beast` number, since 213 + 90 + 19 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2139019299 and 2139019308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139019349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16842609 + ... + 16842735.

It is an arithmetic number, because the mean of its divisors is an integer number (16506880).

Almost surely, 22139019344 is an apocalyptic number.

2139019344 is a gapful number since it is divisible by the number (24) 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 2139019344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961651200).

2139019344 is an abundant number, since it is smaller than the sum of its proper divisors (5784283056).

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

2139019344 is a wasteful number, since it uses less digits than its factorization.

2139019344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2139019344 is about 46249.5334462954. The cubic root of 2139019344 is about 1288.4618696430.

The spelling of 2139019344 in words is "two billion, one hundred thirty-nine million, nineteen thousand, three hundred forty-four".