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11783319601 = 73214872
BaseRepresentation
bin10101111100101011…
…10011000000110001
31010102012101122201111
422332111303000301
5143113012211401
65225125233321
7565000364314
oct127625630061
933365348644
1011783319601
114aa7416469
12234a262841
13115a2ba081
147dad3697b
1548e71de51
hex2be573031

11783319601 has 9 divisors (see below), whose sum is σ = 11954985771. Its totient is φ = 11614088592.

The previous prime is 11783319593. The next prime is 11783319617. The reversal of 11783319601 is 10691338711.

The square root of 11783319601 is 108551.

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

11783319601 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., 6688786225 + 5094533376 = 81785^2 + 71376^2 .

It is not a de Polignac number, because 11783319601 - 23 = 11783319593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11783319641) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7923480 + ... + 7924966.

Almost surely, 211783319601 is an apocalyptic number.

11783319601 is the 108551-st square number.

11783319601 is the 54276-th centered octagonal number.

It is an amenable number.

11783319601 is a deficient number, since it is larger than the sum of its proper divisors (171666170).

11783319601 is an frugal number, since it uses more digits than its factorization.

11783319601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 11783319601 in words is "eleven billion, seven hundred eighty-three million, three hundred nineteen thousand, six hundred one".

Divisors: 1 73 1487 5329 108551 2211169 7924223 161415337 11783319601