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6494991386688 = 263571723532879
BaseRepresentation
bin101111010000011101110…
…1001111000100001000000
3211222220201010011100100000
41132200323221320201000
51322403220243333223
621451431410200000
71240150640610420
oct136407351704100
924886633140300
106494991386688
11208456834a602
1288a933583000
1338162392464c
14186505b4c480
15b3e3a012543
hex5e83ba78840

6494991386688 has 1344 divisors, whose sum is σ = 24846492303360. Its totient is φ = 1638524878848.

The previous prime is 6494991386669. The next prime is 6494991386731. The reversal of 6494991386688 is 8866831994946.

6494991386688 is a `hidden beast` number, since 6 + 4 + 94 + 9 + 91 + 386 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×64949913866882 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 2255987233 + ... + 2255990111.

It is an arithmetic number, because the mean of its divisors is an integer number (18486973440).

Almost surely, 26494991386688 is an apocalyptic number.

6494991386688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494991386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423246151680).

6494991386688 is an abundant number, since it is smaller than the sum of its proper divisors (18351500916672).

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

6494991386688 is a wasteful number, since it uses less digits than its factorization.

6494991386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2984 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 81.

The spelling of 6494991386688 in words is "six trillion, four hundred ninety-four billion, nine hundred ninety-one million, three hundred eighty-six thousand, six hundred eighty-eight".