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1166168484 = 2232132491813
BaseRepresentation
bin100010110000010…
…0101000110100100
310000021100111102100
41011200211012210
54342014342414
6311415012100
740620161055
oct10540450644
93007314370
101166168484
115492a9708
1228666a030
131577aa530
14b0c4472c
156c5a6609
hex458251a4

1166168484 has 36 divisors (see below), whose sum is σ = 3174571036. Its totient is φ = 358820928.

The previous prime is 1166168467. The next prime is 1166168501. The reversal of 1166168484 is 4848616611.

1166168484 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 168 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (1166168467) and next prime (1166168501).

It can be written as a sum of positive squares in 2 ways, for example, as 489648384 + 676520100 = 22128^2 + 26010^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1245439 + ... + 1246374.

Almost surely, 21166168484 is an apocalyptic number.

It is an amenable number.

1166168484 is an abundant number, since it is smaller than the sum of its proper divisors (2008402552).

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

1166168484 is a wasteful number, since it uses less digits than its factorization.

1166168484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491836 (or 2491831 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1166168484 is about 34149.2091270061. The cubic root of 1166168484 is about 1052.5767353775.

The spelling of 1166168484 in words is "one billion, one hundred sixty-six million, one hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2491813 4983626 7475439 9967252 14950878 22426317 29901756 32393569 44852634 64787138 89705268 97180707 129574276 194361414 291542121 388722828 583084242 1166168484