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9897066256 = 2472112172192
BaseRepresentation
bin10010011011110100…
…10011111100010000
3221112202002001120111
421031322103330100
5130232122110011
64314024251104
7500154450400
oct111572237420
927482061514
109897066256
1142196aa400
121b02610a94
13c1958a52c
1469c60a800
153cdd29121
hex24de93f10

9897066256 has 405 divisors, whose sum is σ = 27488531637. Its totient is φ = 3438167040.

The previous prime is 9897066211. The next prime is 9897066271. The reversal of 9897066256 is 6526607989.

The square root of 9897066256 is 99484.

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

9897066256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7705328400 + 2191737856 = 87780^2 + 46816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9897066256.

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 80 ways as a sum of consecutive naturals, for example, 520898215 + ... + 520898233.

Almost surely, 29897066256 is an apocalyptic number.

9897066256 is the 99484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9897066256

9897066256 is an abundant number, since it is smaller than the sum of its proper divisors (17591465381).

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

9897066256 is a wasteful number, since it uses less digits than its factorization.

9897066256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The cubic root of 9897066256 is about 2147.0170463575.

The spelling of 9897066256 in words is "nine billion, eight hundred ninety-seven million, sixty-six thousand, two hundred fifty-six".