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5768486421984 = 253211213293711867
BaseRepresentation
bin101001111110001010010…
…0101011000010111100000
3202102110110201220020022200
41103330110211120113200
51224002330011000414
620134001151333200
71133521320366336
oct123742445302740
922373421806280
105768486421984
111924446223700
12791b7a521200
1332ac73211250
1415d2a6667b56
15a00b90ac109
hex53f149585e0

5768486421984 has 864 divisors, whose sum is σ = 20632220350560. Its totient is φ = 1515688796160.

The previous prime is 5768486421967. The next prime is 5768486422001. The reversal of 5768486421984 is 4891246848675.

5768486421984 is a `hidden beast` number, since 5 + 7 + 68 + 486 + 4 + 2 + 1 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (5768486421967) and next prime (5768486422001).

It is a super-2 number, since 2×57684864219842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486088819 + ... + 486100685.

It is an arithmetic number, because the mean of its divisors is an integer number (23879884665).

Almost surely, 25768486421984 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 5768486421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316110175280).

5768486421984 is an abundant number, since it is smaller than the sum of its proper divisors (14863733928576).

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

5768486421984 is a wasteful number, since it uses less digits than its factorization.

5768486421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11962 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 5768486421984 in words is "five trillion, seven hundred sixty-eight billion, four hundred eighty-six million, four hundred twenty-one thousand, nine hundred eighty-four".