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9706038912 = 273237613733
BaseRepresentation
bin10010000101000011…
…00110011010000000
3221001102121212022200
421002201212122000
5124334221221122
64243042033200
7462344653353
oct110241463200
927042555280
109706038912
114130895769
121a6a648800
13bb8b252bb
146810c229a
153bc1935ac
hex242866680

9706038912 has 192 divisors, whose sum is σ = 29163062760. Its totient is φ = 3095470080.

The previous prime is 9706038911. The next prime is 9706038919. The reversal of 9706038912 is 2198306079.

It can be written as a sum of positive squares in 4 ways, for example, as 7923848256 + 1782190656 = 89016^2 + 42216^2 .

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

It is a super-2 number, since 2×97060389122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9706038911) 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, 2598198 + ... + 2601930.

Almost surely, 29706038912 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 9706038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581531380).

9706038912 is an abundant number, since it is smaller than the sum of its proper divisors (19457023848).

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

9706038912 is a wasteful number, since it uses less digits than its factorization.

9706038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9706038912 is about 98519.2311784862. The cubic root of 9706038912 is about 2133.1137214905.

The spelling of 9706038912 in words is "nine billion, seven hundred six million, thirty-eight thousand, nine hundred twelve".