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11721616705 = 517197991873
BaseRepresentation
bin10101110101010100…
…11010110101000001
31010020220021211021001
422322222122311001
5143001213213310
65215042532001
7563321045431
oct127252326501
933226254231
1011721616705
114a75602137
122331667001
13114a594c96
147d2a742c1
154890d193a
hex2baa9ad41

11721616705 has 32 divisors (see below), whose sum is σ = 15875827200. Its totient is φ = 8255250432.

The previous prime is 11721616693. The next prime is 11721616729. The reversal of 11721616705 is 50761612711.

It is a happy number.

11721616705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11721616705 - 219 = 11721092417 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 81649 + ... + 173521.

It is an arithmetic number, because the mean of its divisors is an integer number (496119600).

Almost surely, 211721616705 is an apocalyptic number.

It is an amenable number.

11721616705 is a deficient number, since it is larger than the sum of its proper divisors (4154210495).

11721616705 is a wasteful number, since it uses less digits than its factorization.

11721616705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91993.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 11721616705 in words is "eleven billion, seven hundred twenty-one million, six hundred sixteen thousand, seven hundred five".

Divisors: 1 5 17 19 79 85 95 323 395 1343 1501 1615 6715 7505 25517 91873 127585 459365 1561841 1745587 7257967 7809205 8727935 29674979 36289835 123385439 137901373 148374895 616927195 689506865 2344323341 11721616705