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188013312 = 28349067
BaseRepresentation
bin10110011010011…
…01101100000000
3111002210001210000
423031031230000
5341112411222
630353440000
74442041524
oct1315155400
9432701700
10188013312
1197146203
1252b70000
132cc4b3a6
141ad81d84
151178c9ac
hexb34db00

188013312 has 90 divisors (see below), whose sum is σ = 560683508. Its totient is φ = 62664192.

The previous prime is 188013299. The next prime is 188013349. The reversal of 188013312 is 213310881.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16203 + ... + 25269.

Almost surely, 2188013312 is an apocalyptic number.

188013312 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 188013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280341754).

188013312 is an abundant number, since it is smaller than the sum of its proper divisors (372670196).

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

188013312 is an frugal number, since it uses more digits than its factorization.

188013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9095 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 188013312 is about 13711.7946309008. The cubic root of 188013312 is about 572.8789525285.

The spelling of 188013312 in words is "one hundred eighty-eight million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 9067 10368 18134 20736 27201 36268 54402 72536 81603 108804 145072 163206 217608 244809 290144 326412 435216 489618 580288 652824 734427 870432 979236 1160576 1305648 1468854 1740864 1958472 2321152 2611296 2937708 3481728 3916944 5222592 5875416 6963456 7833888 10445184 11750832 15667776 20890368 23501664 31335552 47003328 62671104 94006656 188013312