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163355136 = 293715193
BaseRepresentation
bin10011011110010…
…01101000000000
3102101101022010020
421233021220000
5313304331021
624113133440
74022332020
oct1157115000
9371338106
10163355136
118423414a
124685a280
1327ac6959
14179a3a80
15e51b7c6
hex9bc9a00

163355136 has 80 divisors (see below), whose sum is σ = 497390784. Its totient is φ = 46669824.

The previous prime is 163355119. The next prime is 163355149. The reversal of 163355136 is 631553361.

It is a junction number, because it is equal to n+sod(n) for n = 163355097 and 163355106.

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, 3156 + ... + 18348.

Almost surely, 2163355136 is an apocalyptic number.

163355136 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 163355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248695392).

163355136 is an abundant number, since it is smaller than the sum of its proper divisors (334035648).

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

163355136 is an equidigital number, since it uses as much as digits as its factorization.

163355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15205 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 163355136 is about 12781.0459665866. The cubic root of 163355136 is about 546.6519871794.

The spelling of 163355136 in words is "one hundred sixty-three million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 15193 30386 45579 60772 91158 106351 121544 182316 212702 243088 319053 364632 425404 486176 638106 729264 850808 972352 1276212 1458528 1701616 1944704 2552424 2917056 3403232 3889408 5104848 5834112 6806464 7778816 10209696 11668224 13612928 20419392 23336448 27225856 40838784 54451712 81677568 163355136