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5606563536 = 24327223179193
BaseRepresentation
bin1010011100010110…
…10101111011010000
3112110201201221022100
411032023111323100
542440240013121
62324200040400
7255636001200
oct51613257320
915421657270
105606563536
112417839192
121105763100
136b4714b22
143b2876400
1522c31e026
hex14e2d5ed0

5606563536 has 360 divisors, whose sum is σ = 19251535680. Its totient is φ = 1515773952.

The previous prime is 5606563531. The next prime is 5606563537. The reversal of 5606563536 is 6353656065.

5606563536 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 5 + 635 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5606563491 and 5606563500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606563531) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 29049456 + ... + 29049648.

It is an arithmetic number, because the mean of its divisors is an integer number (53476488).

Almost surely, 25606563536 is an apocalyptic number.

5606563536 is a gapful number since it is divisible by the number (56) 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 5606563536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625767840).

5606563536 is an abundant number, since it is smaller than the sum of its proper divisors (13644972144).

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

5606563536 is a wasteful number, since it uses less digits than its factorization.

5606563536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The square root of 5606563536 is about 74876.9893625538. The cubic root of 5606563536 is about 1776.5015171187.

The spelling of 5606563536 in words is "five billion, six hundred six million, five hundred sixty-three thousand, five hundred thirty-six".