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1146555168 = 253111085753
BaseRepresentation
bin100010001010111…
…0000101100100000
32221220110001000020
41010111300230200
54322004231133
6305434353440
740261362303
oct10425605440
92856401006
101146555168
11539222960
1227bb8b880
13153701115
14ac3bab3a
156a9d00b3
hex44570b20

1146555168 has 48 divisors (see below), whose sum is σ = 3283320096. Its totient is φ = 347440640.

The previous prime is 1146555167. The next prime is 1146555187. The reversal of 1146555168 is 8615556411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1146555167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 541821 + ... + 543932.

It is an arithmetic number, because the mean of its divisors is an integer number (68402502).

Almost surely, 21146555168 is an apocalyptic number.

It is an amenable number.

1146555168 is an abundant number, since it is smaller than the sum of its proper divisors (2136764928).

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

1146555168 is a wasteful number, since it uses less digits than its factorization.

1146555168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085777 (or 1085769 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 1146555168 is about 33860.8205452851. The cubic root of 1146555168 is about 1046.6423867322.

The spelling of 1146555168 in words is "one billion, one hundred forty-six million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1085753 2171506 3257259 4343012 6514518 8686024 11943283 13029036 17372048 23886566 26058072 34744096 35829849 47773132 52116144 71659698 95546264 104232288 143319396 191092528 286638792 382185056 573277584 1146555168