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1164069216 = 25324041907
BaseRepresentation
bin100010101100010…
…0100100101100000
310000010101211202200
41011120210211200
54341000203331
6311302013200
740563265542
oct10530444540
93003354680
101164069216
115480a5482
12285a17200
13157223b6b
14b0859692
156c2de5e6
hex45624960

1164069216 has 36 divisors (see below), whose sum is σ = 3310322652. Its totient is φ = 388022976.

The previous prime is 1164069209. The next prime is 1164069239. The reversal of 1164069216 is 6129604611.

1164069216 is a `hidden beast` number, since 1 + 1 + 640 + 6 + 9 + 2 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2020666 + ... + 2021241.

It is an arithmetic number, because the mean of its divisors is an integer number (91953407).

Almost surely, 21164069216 is an apocalyptic number.

1164069216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1164069216 is an abundant number, since it is smaller than the sum of its proper divisors (2146253436).

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

1164069216 is a wasteful number, since it uses less digits than its factorization.

1164069216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041923 (or 4041912 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1164069216 is about 34118.4585818293. The cubic root of 1164069216 is about 1051.9447604087.

The spelling of 1164069216 in words is "one billion, one hundred sixty-four million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4041907 8083814 12125721 16167628 24251442 32335256 36377163 48502884 64670512 72754326 97005768 129341024 145508652 194011536 291017304 388023072 582034608 1164069216