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163327104 = 27355989
BaseRepresentation
bin10011011110000…
…10110010000000
3102101022212200000
421233002302000
5313302431404
624112400000
74022154213
oct1157026200
9371285600
10163327104
1184215086
1246846000
1327ab6c75
141799777a
15e513339
hex9bc2c80

163327104 has 192 divisors, whose sum is σ = 501228000. Its totient is φ = 52918272.

The previous prime is 163327081. The next prime is 163327121. The reversal of 163327104 is 401723361.

163327104 is a `hidden beast` number, since 1 + 633 + 27 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 1835092 + ... + 1835180.

Almost surely, 2163327104 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 163327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614000).

163327104 is an abundant number, since it is smaller than the sum of its proper divisors (337900896).

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

163327104 is an frugal number, since it uses more digits than its factorization.

163327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 163327104 is about 12779.9492956741. The cubic root of 163327104 is about 546.6207166084.

It can be divided in two parts, 16332 and 7104, that added together give a triangular number (23436 = T216).

The spelling of 163327104 in words is "one hundred sixty-three million, three hundred twenty-seven thousand, one hundred four".