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5666973840 = 243551126501
BaseRepresentation
bin1010100011100011…
…10010100010010000
3112121221102002200000
411101301302202100
543101221130330
62334154530000
7260301324423
oct52161624220
915557362600
105666973840
11244894a360
121121a36900
136c40a6778
143ba8bd9ba
152327a3560
hex151c72890

5666973840 has 240 divisors, whose sum is σ = 21531496896. Its totient is φ = 1373760000.

The previous prime is 5666973811. The next prime is 5666973847. The reversal of 5666973840 is 483796665.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56669738402 = 64229185006488691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5666973847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200590 + ... + 227090.

Almost surely, 25666973840 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 5666973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765748448).

5666973840 is an abundant number, since it is smaller than the sum of its proper divisors (15864523056).

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

5666973840 is a wasteful number, since it uses less digits than its factorization.

5666973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26540 (or 26522 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 5666973840 is about 75279.3055228328. The cubic root of 5666973840 is about 1782.8592937685.

The spelling of 5666973840 in words is "five billion, six hundred sixty-six million, nine hundred seventy-three thousand, eight hundred forty".