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7116744096 = 2532711615261
BaseRepresentation
bin1101010000011000…
…01110010110100000
3200100222102001120200
412220030032112200
5104033341302341
63134104305200
7341234220030
oct65014162640
920328361520
107116744096
1130222421a0
121467472200
1389555cba7
144b72698c0
152b9bc9db6
hex1a830e5a0

7116744096 has 288 divisors, whose sum is σ = 25650608256. Its totient is φ = 1817856000.

The previous prime is 7116744091. The next prime is 7116744163. The reversal of 7116744096 is 6904476117.

7116744096 is a `hidden beast` number, since 7 + 116 + 7 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7116744091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350106 + ... + 1355366.

It is an arithmetic number, because the mean of its divisors is an integer number (89064612).

Almost surely, 27116744096 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 7116744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825304128).

7116744096 is an abundant number, since it is smaller than the sum of its proper divisors (18533864160).

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

7116744096 is a wasteful number, since it uses less digits than its factorization.

7116744096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7116744096 is about 84360.7971512835. The cubic root of 7116744096 is about 1923.5070536905.

The spelling of 7116744096 in words is "seven billion, one hundred sixteen million, seven hundred forty-four thousand, ninety-six".