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9681772816 = 2417214472
BaseRepresentation
bin10010000010001010…
…00010000100010000
3220222201222000111101
421001011002010100
5124312013212231
64240413554144
7461631465622
oct110105020420
926881860441
109681772816
114119121241
121a624a5954
13bb3aaa171
1467bba6c12
153b9e9d661
hex241142110

9681772816 has 45 divisors (see below), whose sum is σ = 19940560869. Its totient is φ = 4552979712.

The previous prime is 9681772811. The next prime is 9681772817. The reversal of 9681772816 is 6182771869.

The square root of 9681772816 is 98396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7537712400 + 2144060416 = 86820^2 + 46304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9681772811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6690205 + ... + 6691651.

Almost surely, 29681772816 is an apocalyptic number.

9681772816 is the 98396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9681772816

9681772816 is an abundant number, since it is smaller than the sum of its proper divisors (10258788053).

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

9681772816 is an equidigital number, since it uses as much as digits as its factorization.

9681772816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 1466 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 55.

The cubic root of 9681772816 is about 2131.3345700471.

The spelling of 9681772816 in words is "nine billion, six hundred eighty-one million, seven hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1447 2312 2894 4624 5788 11576 23152 24599 49198 98396 196792 393584 418183 836366 1672732 2093809 3345464 4187618 6690928 8375236 16750472 33500944 35594753 71189506 142379012 284758024 569516048 605110801 1210221602 2420443204 4840886408 9681772816