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163924830389376 = 27327217231324143
BaseRepresentation
bin100101010001011010111001…
…010010010000010010000000
3210111102001122021111212201100
4211101122321102100102000
5132441221023034430001
61340350005533334400
746346115053142300
oct4521327122202200
9714361567455640
10163924830389376
1148260148274901
1216475892037400
13706107833c904
142c6a00b45d600
1513e40dae60586
hex9516b9490480

163924830389376 has 864 divisors, whose sum is σ = 601706536404480. Its totient is φ = 42658539356160.

The previous prime is 163924830389363. The next prime is 163924830389401. The reversal of 163924830389376 is 673983038429361.

163924830389376 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 248 + 3 + 0 + 3 + 8 + 9 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 505555561 + ... + 505879703.

It is an arithmetic number, because the mean of its divisors is an integer number (696419602320).

Almost surely, 2163924830389376 is an apocalyptic number.

163924830389376 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 163924830389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300853268202240).

163924830389376 is an abundant number, since it is smaller than the sum of its proper divisors (437781706015104).

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

163924830389376 is a wasteful number, since it uses less digits than its factorization.

163924830389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324242 (or 324203 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 163924830389376 in words is "one hundred sixty-three trillion, nine hundred twenty-four billion, eight hundred thirty million, three hundred eighty-nine thousand, three hundred seventy-six".