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946139168 = 251316713619
BaseRepresentation
bin111000011001001…
…111000000100000
32102221022211221102
4320121033000200
53414202423133
6233515013532
732306023142
oct7031170040
92387284842
10946139168
114460863a7
12224a3a2a8
1312102c680
148d92ac92
15580e27e8
hex3864f020

946139168 has 48 divisors (see below), whose sum is σ = 2018157120. Its totient is φ = 434032896.

The previous prime is 946139149. The next prime is 946139197. The reversal of 946139168 is 861931649.

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 7 ways as a sum of consecutive naturals, for example, 62663 + ... + 76281.

It is an arithmetic number, because the mean of its divisors is an integer number (42044940).

Almost surely, 2946139168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009078560).

946139168 is an abundant number, since it is smaller than the sum of its proper divisors (1072017952).

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

946139168 is a wasteful number, since it uses less digits than its factorization.

946139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13809 (or 13801 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 946139168 is about 30759.3752862440. The cubic root of 946139168 is about 981.7140515495.

The spelling of 946139168 in words is "nine hundred forty-six million, one hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 167 208 334 416 668 1336 2171 2672 4342 5344 8684 13619 17368 27238 34736 54476 69472 108952 177047 217904 354094 435808 708188 1416376 2274373 2832752 4548746 5665504 9097492 18194984 29566849 36389968 59133698 72779936 118267396 236534792 473069584 946139168