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5664269331540 = 223351732135027
BaseRepresentation
bin101001001101101000011…
…0000101110110001010100
3202001111110200001111112000
41102123100300232301110
51220300410422102130
620014043541355300
71123141605626451
oct122332060566124
922044420044460
105664269331540
111894226409096
12775934408b30
133211a4b20b21
1415821b502828
159c519a19260
hex526d0c2ec54

5664269331540 has 192 divisors, whose sum is σ = 18723341548800. Its totient is φ = 1421619872256.

The previous prime is 5664269331533. The next prime is 5664269331577. The reversal of 5664269331540 is 451339624665.

5664269331540 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 2 + 6 + 93 + 3 + 1 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1585507 + ... + 3720533.

It is an arithmetic number, because the mean of its divisors is an integer number (97517403900).

Almost surely, 25664269331540 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 5664269331540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361670774400).

5664269331540 is an abundant number, since it is smaller than the sum of its proper divisors (13059072217260).

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

5664269331540 is a wasteful number, since it uses less digits than its factorization.

5664269331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135096 (or 2135054 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 5664269331540 in words is "five trillion, six hundred sixty-four billion, two hundred sixty-nine million, three hundred thirty-one thousand, five hundred forty".