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6981988489216 = 2111317314153229
BaseRepresentation
bin110010110011001111011…
…1100011001100000000000
3220201110201210010102112021
41211212132330121200000
51403343103023123331
622503251540211224
71320301116644026
oct145463674314000
926643653112467
106981988489216
112252054533744
129491a5999b14
133b8524bc7940
141a1d04090716
15c193e320211
hex6599ef19800

6981988489216 has 768 divisors, whose sum is σ = 17225637811200. Its totient is φ = 2797181337600.

The previous prime is 6981988489193. The next prime is 6981988489219. The reversal of 6981988489216 is 6129848891896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981988489219) by changing a digit.

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, 30489032590 + ... + 30489032818.

It is an arithmetic number, because the mean of its divisors is an integer number (22429215900).

Almost surely, 26981988489216 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 6981988489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612818905600).

6981988489216 is an abundant number, since it is smaller than the sum of its proper divisors (10243649321984).

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

6981988489216 is a wasteful number, since it uses less digits than its factorization.

6981988489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 79.

The spelling of 6981988489216 in words is "six trillion, nine hundred eighty-one billion, nine hundred eighty-eight million, four hundred eighty-nine thousand, two hundred sixteen".