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5900678784 = 27327211131743
BaseRepresentation
bin1010111111011010…
…10011011010000000
3120020020011112120200
411133231103122000
544041033210114
62413304005200
7266136641100
oct53755233200
916206145520
105900678784
112558863340
121188160800
13730632210
143dd957200
15248069409
hex15fb53680

5900678784 has 1152 divisors, whose sum is σ = 25141596480. Its totient is φ = 1300561920.

The previous prime is 5900678747. The next prime is 5900678803. The reversal of 5900678784 is 4878760095.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×59006787842 = 69636020223895437312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5900678784.

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 143 ways as a sum of consecutive naturals, for example, 137225067 + ... + 137225109.

Almost surely, 25900678784 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 5900678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570798240).

5900678784 is an abundant number, since it is smaller than the sum of its proper divisors (19240917696).

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

5900678784 is a wasteful number, since it uses less digits than its factorization.

5900678784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5900678784 is about 76815.8758590957. The cubic root of 5900678784 is about 1807.0381627971.

The spelling of 5900678784 in words is "five billion, nine hundred million, six hundred seventy-eight thousand, seven hundred eighty-four".