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6142118961 = 3111953184831
BaseRepresentation
bin1011011100001100…
…10100110000110001
3120212001110222020110
411232012110300301
5100034340301321
62453250531533
7305131102236
oct55606246061
916761428213
106142118961
11267207a980
121234b96ba9
1376b668724
14423a4578d
1525e35c176
hex16e194c31

6142118961 has 32 divisors (see below), whose sum is σ = 9581690880. Its totient is φ = 3460017600.

The previous prime is 6142118947. The next prime is 6142119017. The reversal of 6142118961 is 1698112416.

6142118961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6142118961 - 26 = 6142118897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6142118911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59185 + ... + 125646.

It is an arithmetic number, because the mean of its divisors is an integer number (299427840).

Almost surely, 26142118961 is an apocalyptic number.

It is an amenable number.

6142118961 is a deficient number, since it is larger than the sum of its proper divisors (3439571919).

6142118961 is a wasteful number, since it uses less digits than its factorization.

6142118961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184917.

The product of its digits is 20736, while the sum is 39.

The square root of 6142118961 is about 78371.6719293394. The cubic root of 6142118961 is about 1831.3558547592.

The spelling of 6142118961 in words is "six billion, one hundred forty-two million, one hundred eighteen thousand, nine hundred sixty-one".

Divisors: 1 3 11 19 33 53 57 159 209 583 627 1007 1749 3021 11077 33231 184831 554493 2033141 3511789 6099423 9796043 10535367 29388129 38629679 107756473 115889037 186124817 323269419 558374451 2047372987 6142118961