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171113472 = 210342063
BaseRepresentation
bin10100011001011…
…11110000000000
3102220222110120000
422030233300000
5322301112342
624551320000
74145304045
oct1214576000
9386873500
10171113472
11886530a2
1249380000
13295b209a
1418a231cc
151005044c
hexa32fc00

171113472 has 110 divisors (see below), whose sum is σ = 511225968. Its totient is φ = 57010176.

The previous prime is 171113441. The next prime is 171113489. The reversal of 171113472 is 274311171.

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 81913 + ... + 83975.

Almost surely, 2171113472 is an apocalyptic number.

171113472 is a gapful number since it is divisible by the number (12) 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 171113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255612984).

171113472 is an abundant number, since it is smaller than the sum of its proper divisors (340112496).

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

171113472 is an equidigital number, since it uses as much as digits as its factorization.

171113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2068 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 171113472 is about 13081.0348214505. The cubic root of 171113472 is about 555.1726562897.

The spelling of 171113472 in words is "one hundred seventy-one million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2063 2304 2592 3072 3456 4126 4608 5184 6189 6912 8252 9216 10368 12378 13824 16504 18567 20736 24756 27648 33008 37134 41472 49512 55701 66016 74268 82944 99024 111402 132032 148536 167103 198048 222804 264064 297072 334206 396096 445608 528128 594144 668412 792192 891216 1056256 1188288 1336824 1584384 1782432 2112512 2376576 2673648 3168768 3564864 4753152 5347296 6337536 7129728 9506304 10694592 14259456 19012608 21389184 28518912 42778368 57037824 85556736 171113472