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5611747680 = 25325711243107
BaseRepresentation
bin1010011100111110…
…00111100101100000
3112111002111022121200
411032133013211200
542443101411210
62324503121200
7256031032260
oct51637074540
915432438550
105611747680
11241a75a100
121107443200
136b580b676
143b34257a0
1522c9e50c0
hex14e7c7960

5611747680 has 864 divisors, whose sum is σ = 24845812992. Its totient is φ = 1128314880.

The previous prime is 5611747649. The next prime is 5611747681. The reversal of 5611747680 is 867471165.

5611747680 is a `hidden beast` number, since 561 + 1 + 7 + 4 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5611747681) 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 143 ways as a sum of consecutive naturals, for example, 52446187 + ... + 52446293.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 25611747680 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 5611747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

5611747680 is an abundant number, since it is smaller than the sum of its proper divisors (19234065312).

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

5611747680 is a wasteful number, since it uses less digits than its factorization.

5611747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5611747680 is about 74911.5991018747. The cubic root of 5611747680 is about 1777.0488995153.

The spelling of 5611747680 in words is "five billion, six hundred eleven million, seven hundred forty-seven thousand, six hundred eighty".