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7115315328 = 2732112324413
BaseRepresentation
bin1101010000001101…
…10001100010000000
3200100212201110200100
412220012301202000
5104033010042303
63134013522400
7341216116362
oct65006614200
920325643610
107115315328
1130214567a0
121466aa3400
1389517c774
144b6db6d32
152b99e68a3
hex1a81b1880

7115315328 has 192 divisors, whose sum is σ = 23308534080. Its totient is φ = 2062325760.

The previous prime is 7115315323. The next prime is 7115315369. The reversal of 7115315328 is 8235135117.

It is a happy number.

7115315328 is a `hidden beast` number, since 7 + 1 + 15 + 315 + 328 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7115315292 and 7115315301.

It is not an unprimeable number, because it can be changed into a prime (7115315321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279250 + ... + 303662.

It is an arithmetic number, because the mean of its divisors is an integer number (121398615).

Almost surely, 27115315328 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 7115315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654267040).

7115315328 is an abundant number, since it is smaller than the sum of its proper divisors (16193218752).

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

7115315328 is a wasteful number, since it uses less digits than its factorization.

7115315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24467 (or 24452 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 7115315328 is about 84352.3285274331. The cubic root of 7115315328 is about 1923.3783230414.

The spelling of 7115315328 in words is "seven billion, one hundred fifteen million, three hundred fifteen thousand, three hundred twenty-eight".