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706680507960 = 233257614597193
BaseRepresentation
bin10100100100010010111…
…00001100111000111000
32111120001210001100211200
422102021130030320320
543034240202223320
61300351115454200
7102025126131060
oct12221134147070
92446053040750
10706680507960
112527797a6159
12b4b61a57360
135184150bc2b
14262bc6563a0
15135b0812290
hexa48970ce38

706680507960 has 192 divisors, whose sum is σ = 2667843622080. Its totient is φ = 158878955520.

The previous prime is 706680507901. The next prime is 706680508057. The reversal of 706680507960 is 69705086607.

It is a happy number.

706680507960 is a `hidden beast` number, since 70 + 6 + 6 + 8 + 0 + 507 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 706680507897 and 706680507906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144877 + ... + 2452316.

It is an arithmetic number, because the mean of its divisors is an integer number (13895018865).

Almost surely, 2706680507960 is an apocalyptic number.

706680507960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

706680507960 is an abundant number, since it is smaller than the sum of its proper divisors (1961163114120).

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

706680507960 is a wasteful number, since it uses less digits than its factorization.

706680507960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597278 (or 4597271 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 706680507960 in words is "seven hundred six billion, six hundred eighty million, five hundred seven thousand, nine hundred sixty".