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5663409373440 = 283457131095507
BaseRepresentation
bin101001001101001110110…
…0000010000000100000000
3202001102020201220002210000
41102122131200100010000
51220242130244422230
620013422341440000
71123111364252130
oct122323540200400
922042221802700
105663409373440
111893924a45915
12775734410000
13321098907090
1415817920aac0
159c4b929bb60
hex5269d810100

5663409373440 has 1440 divisors, whose sum is σ = 25174575740160. Its totient is φ = 1183739609088.

The previous prime is 5663409373423. The next prime is 5663409373463. The reversal of 5663409373440 is 443739043665.

It is a happy number.

5663409373440 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 40 + 93 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1028399167 + ... + 1028404673.

It is an arithmetic number, because the mean of its divisors is an integer number (17482344264).

Almost surely, 25663409373440 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 5663409373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587287870080).

5663409373440 is an abundant number, since it is smaller than the sum of its proper divisors (19511166366720).

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

5663409373440 is a wasteful number, since it uses less digits than its factorization.

5663409373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

It can be divided in two parts, 5663409 and 373440, that added together give a square (6036849 = 24572).

The spelling of 5663409373440 in words is "five trillion, six hundred sixty-three billion, four hundred nine million, three hundred seventy-three thousand, four hundred forty".