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8197604352 = 21034722017
BaseRepresentation
bin1111010001001110…
…11000010000000000
3210011022020110010000
413220213120100000
5113242041314402
63433235040000
7410100326100
oct75047302000
923138213100
108197604352
113527374533
121709440000
13a0846bb82
1457aa25200
1532ea2ec1c
hex1e89d8400

8197604352 has 330 divisors, whose sum is σ = 28490444862. Its totient is φ = 2341011456.

The previous prime is 8197604333. The next prime is 8197604353. The reversal of 8197604352 is 2534067918.

8197604352 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 604 + 35 + 2 = 666.

8197604352 is digitally balanced in base 10, 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., 7868399616 + 329204736 = 88704^2 + 18144^2 .

It is a super-2 number, since 2×81976043522 (a number of 21 digits) contains 22 as substring.

8197604352 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8197604298 and 8197604307.

It is not an unprimeable number, because it can be changed into a prime (8197604353) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4063248 + ... + 4065264.

It is a 2-persistent number, because it is pandigital, and so is 2⋅8197604352 = 16395208704, but 3⋅8197604352 = 24592813056 is not.

Almost surely, 28197604352 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 8197604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245222431).

8197604352 is an abundant number, since it is smaller than the sum of its proper divisors (20292840510).

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

8197604352 is a wasteful number, since it uses less digits than its factorization.

8197604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8197604352 is about 90540.6226618748. The cubic root of 8197604352 is about 2016.3332782339. Note that the first 3 decimals are identical.

The spelling of 8197604352 in words is "eight billion, one hundred ninety-seven million, six hundred four thousand, three hundred fifty-two".