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5564198640 = 243571113192353
BaseRepresentation
bin1010010111010011…
…01110111011110000
3112100210000120121010
411023221232323300
542343413324030
62320044030520
7254612623320
oct51351567360
915323016533
105564198640
1123a5932880
1210b3532440
136a8a00a40
143aada9280
152287516b0
hex14ba6eef0

5564198640 has 1280 divisors, whose sum is σ = 25918341120. Its totient is φ = 948879360.

The previous prime is 5564198597. The next prime is 5564198641. The reversal of 5564198640 is 468914655.

It is a super-3 number, since 3×55641986403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5564198640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564198641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104984854 + ... + 104984906.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 25564198640 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 5564198640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959170560).

5564198640 is an abundant number, since it is smaller than the sum of its proper divisors (20354142480).

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

5564198640 is a wasteful number, since it uses less digits than its factorization.

5564198640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5564198640 is about 74593.5562900711. The cubic root of 5564198640 is about 1772.0156041884.

The spelling of 5564198640 in words is "five billion, five hundred sixty-four million, one hundred ninety-eight thousand, six hundred forty".