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11680611401 = 411693168277
BaseRepresentation
bin10101110000011011…
…11111110001001001
31010011001010112120002
422320031333301021
5142410214031101
65211020012345
7562312362434
oct127015776111
933131115502
1011680611401
114a54445258
12231b9910b5
131141c389a4
147cb43c81b
154856d1d6b
hex2b837fc49

11680611401 has 8 divisors (see below), whose sum is σ = 11972643144. Its totient is φ = 11388919680.

The previous prime is 11680611391. The next prime is 11680611407. The reversal of 11680611401 is 10411608611.

It can be written as a sum of positive squares in 4 ways, for example, as 502835776 + 11177775625 = 22424^2 + 105725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11680611401 - 26 = 11680611337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11680611407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14726 + ... + 153551.

It is an arithmetic number, because the mean of its divisors is an integer number (1496580393).

Almost surely, 211680611401 is an apocalyptic number.

It is an amenable number.

11680611401 is a deficient number, since it is larger than the sum of its proper divisors (292031743).

11680611401 is a wasteful number, since it uses less digits than its factorization.

11680611401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170011.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 11680611401 in words is "eleven billion, six hundred eighty million, six hundred eleven thousand, four hundred one".

Divisors: 1 41 1693 69413 168277 6899357 284892961 11680611401