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6918950016 = 2734111931103
BaseRepresentation
bin1100111000110011…
…01100110010000000
3122212012020002010000
412130121230302000
5103132222400031
63102321040000
7333313050636
oct63431546200
918765202100
106918950016
112a30626610
121411186000
13863598984
14498c9d356
152a76593e6
hex19c66cc80

6918950016 has 640 divisors, whose sum is σ = 24644505600. Its totient is φ = 1903564800.

The previous prime is 6918949993. The next prime is 6918950021. The reversal of 6918950016 is 6100598196.

6918950016 is a `hidden beast` number, since 69 + 1 + 89 + 500 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67174221 + ... + 67174323.

It is an arithmetic number, because the mean of its divisors is an integer number (38507040).

Almost surely, 26918950016 is an apocalyptic number.

6918950016 is a gapful number since it is divisible by the number (66) 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 6918950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322252800).

6918950016 is an abundant number, since it is smaller than the sum of its proper divisors (17725555584).

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

6918950016 is a wasteful number, since it uses less digits than its factorization.

6918950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 6918950016 is about 83180.2261117388. The cubic root of 6918950016 is about 1905.5195011963.

The spelling of 6918950016 in words is "six billion, nine hundred eighteen million, nine hundred fifty thousand, sixteen".