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6978089088 = 2735317237
BaseRepresentation
bin1100111111110110…
…10011000010000000
3200000022111122200000
412133323103002000
5103242342322323
63112232400000
7334631531025
oct63773230200
920008448600
106978089088
112a60a49683
121428b46000
13872903ac9
144a2a9554c
152ac93be43
hex19fed3080

6978089088 has 192 divisors, whose sum is σ = 21498597120. Its totient is φ = 2250685440.

The previous prime is 6978089081. The next prime is 6978089143. The reversal of 6978089088 is 8809808796.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6978089081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960606 + ... + 967842.

It is an arithmetic number, because the mean of its divisors is an integer number (111971860).

Almost surely, 26978089088 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 6978089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749298560).

6978089088 is an abundant number, since it is smaller than the sum of its proper divisors (14520508032).

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

6978089088 is an equidigital number, since it uses as much as digits as its factorization.

6978089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The square root of 6978089088 is about 83534.9572813681. The cubic root of 6978089088 is about 1910.9331887163.

The spelling of 6978089088 in words is "six billion, nine hundred seventy-eight million, eighty-nine thousand, eighty-eight".