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1166065641 = 321320694817
BaseRepresentation
bin100010110000000…
…1011111111101001
310000021011021100100
41011200023333221
54342003100031
6311412500013
740616252166
oct10540137751
93007137310
101166065641
11549239414
1228661a609
13157772790
14b0c1906d
156c585de6
hex4580bfe9

1166065641 has 24 divisors (see below), whose sum is σ = 1815133320. Its totient is φ = 717083136.

The previous prime is 1166065627. The next prime is 1166065673. The reversal of 1166065641 is 1465606611.

It is a happy number.

1166065641 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 0 + 6 + 5 + 641 = 666.

1166065641 is digitally balanced in base 4, 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 4 ways, for example, as 61168041 + 1104897600 = 7821^2 + 33240^2 .

It is not a de Polignac number, because 1166065641 - 29 = 1166065129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1166065596 and 1166065605.

It is not an unprimeable number, because it can be changed into a prime (1166063641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239665 + ... + 244481.

It is an arithmetic number, because the mean of its divisors is an integer number (75630555).

Almost surely, 21166065641 is an apocalyptic number.

It is an amenable number.

1166065641 is a deficient number, since it is larger than the sum of its proper divisors (649067679).

1166065641 is a wasteful number, since it uses less digits than its factorization.

1166065641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1166065641 is about 34147.7033049076. The cubic root of 1166065641 is about 1052.5457926413.

The spelling of 1166065641 in words is "one billion, one hundred sixty-six million, sixty-five thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 117 2069 4817 6207 14451 18621 26897 43353 62621 80691 187863 242073 563589 9966373 29899119 89697357 129562849 388688547 1166065641