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168054656 = 2771117259
BaseRepresentation
bin10100000010001…
…00111110000000
3102201020001122112
422001010332000
5321010222111
624401554452
74110304160
oct1201047600
9381201575
10168054656
1186953a50
1248345a28
1328a80a33
14184685a0
15eb48e8b
hexa044f80

168054656 has 192 divisors, whose sum is σ = 450921600. Its totient is φ = 60579840.

The previous prime is 168054643. The next prime is 168054659. The reversal of 168054656 is 656450861.

It is a happy number.

168054656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168054659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848355 + ... + 2848413.

It is an arithmetic number, because the mean of its divisors is an integer number (2348550).

Almost surely, 2168054656 is an apocalyptic number.

168054656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225460800).

168054656 is an abundant number, since it is smaller than the sum of its proper divisors (282866944).

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

168054656 is a wasteful number, since it uses less digits than its factorization.

168054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 168054656 is about 12963.5896263342. The cubic root of 168054656 is about 551.8446667882.

The spelling of 168054656 in words is "one hundred sixty-eight million, fifty-four thousand, six hundred fifty-six".