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163361664 = 273347269
BaseRepresentation
bin10011011110010…
…11001110000000
3102101101122002000
421233023032000
5313310033124
624113224000
74022360034
oct1157131600
9371348060
10163361664
1184239044
1246862000
1327ac990b
14179a61c4
15e51d6c9
hex9bcb380

163361664 has 64 divisors (see below), whose sum is σ = 482154000. Its totient is φ = 54452736.

The previous prime is 163361641. The next prime is 163361683. The reversal of 163361664 is 466163361.

163361664 is a `hidden beast` number, since 1 + 6 + 33 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20179 + ... + 27090.

Almost surely, 2163361664 is an apocalyptic number.

It is an amenable number.

163361664 is an abundant number, since it is smaller than the sum of its proper divisors (318792336).

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

163361664 is an equidigital number, since it uses as much as digits as its factorization.

163361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292 (or 47274 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 163361664 is about 12781.3013421952. The cubic root of 163361664 is about 546.6592688536.

It can be divided in two parts, 163361 and 664, that added together give a square (164025 = 4052).

The spelling of 163361664 in words is "one hundred sixty-three million, three hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 47269 94538 141807 189076 283614 378152 425421 567228 756304 850842 1134456 1276263 1512608 1701684 2268912 2552526 3025216 3403368 4537824 5105052 6050432 6806736 9075648 10210104 13613472 18151296 20420208 27226944 40840416 54453888 81680832 163361664