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5681950447968 = 253329231279103
BaseRepresentation
bin101001010101110111010…
…1000110101100101100000
3202010012002220012021112000
41102223232220311211200
51221043113303313333
620030130233204000
71124336012633034
oct122535650654540
922105086167460
105681950447968
1118a0779999603
12779249860600
13322a61c713b2
141590178421c4
159cc01dd3713
hex52aeea35960

5681950447968 has 864 divisors, whose sum is σ = 18133902259200. Its totient is φ = 1730319252480.

The previous prime is 5681950447967. The next prime is 5681950448011. The reversal of 5681950447968 is 8697440591865.

5681950447968 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 95 + 0 + 4 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5681950447896 and 5681950447905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5681950447961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55164567405 + ... + 55164567507.

It is an arithmetic number, because the mean of its divisors is an integer number (20988312800).

Almost surely, 25681950447968 is an apocalyptic number.

5681950447968 is a gapful number since it is divisible by the number (58) 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 5681950447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066951129600).

5681950447968 is an abundant number, since it is smaller than the sum of its proper divisors (12451951811232).

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

5681950447968 is a wasteful number, since it uses less digits than its factorization.

5681950447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 5681950447968 in words is "five trillion, six hundred eighty-one billion, nine hundred fifty million, four hundred forty-seven thousand, nine hundred sixty-eight".