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5585920704 = 26357133947
BaseRepresentation
bin1010011001111001…
…00110001011000000
3112102021220011200000
411030330212023000
542414443430304
62322141400000
7255265354050
oct51474461300
915367804600
105585920704
1124071199a1
1210ba869000
136b0367c30
143adc21560
1522a5e2939
hex14cf262c0

5585920704 has 336 divisors, whose sum is σ = 20440912128. Its totient is φ = 1472836608.

The previous prime is 5585920699. The next prime is 5585920759. The reversal of 5585920704 is 4070295855.

5585920704 is a `hidden beast` number, since 5 + 58 + 592 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×55859207043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5585920704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413259 + ... + 1417205.

It is an arithmetic number, because the mean of its divisors is an integer number (60836048).

Almost surely, 25585920704 is an apocalyptic number.

5585920704 is a gapful number since it is divisible by the number (54) 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 5585920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220456064).

5585920704 is an abundant number, since it is smaller than the sum of its proper divisors (14854991424).

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

5585920704 is a wasteful number, since it uses less digits than its factorization.

5585920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5585920704 is about 74739.0172801329. The cubic root of 5585920704 is about 1774.3185327143.

The spelling of 5585920704 in words is "five billion, five hundred eighty-five million, nine hundred twenty thousand, seven hundred four".