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188133912 = 233241101631
BaseRepresentation
bin10110011011010…
…11001000011000
3111010000012012200
423031223020120
5341130241122
630400210200
74443053241
oct1315531030
9433005180
10188133912
119721887a
1253009960
132cc91255
141adb3cc8
15117b35ac
hexb36b218

188133912 has 96 divisors (see below), whose sum is σ = 527960160. Its totient is φ = 60480000.

The previous prime is 188133899. The next prime is 188133919. The reversal of 188133912 is 219331881.

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 not an unprimeable number, because it can be changed into a prime (188133919) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 297837 + ... + 298467.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 2188133912 is an apocalyptic number.

188133912 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 188133912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263980080).

188133912 is an abundant number, since it is smaller than the sum of its proper divisors (339826248).

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

188133912 is a wasteful number, since it uses less digits than its factorization.

188133912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 188133912 is about 13716.1915997116. The cubic root of 188133912 is about 573.0014162588.

The spelling of 188133912 in words is "one hundred eighty-eight million, one hundred thirty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 101 123 164 202 246 303 328 369 404 492 606 631 738 808 909 984 1212 1262 1476 1818 1893 2424 2524 2952 3636 3786 4141 5048 5679 7272 7572 8282 11358 12423 15144 16564 22716 24846 25871 33128 37269 45432 49692 51742 63731 74538 77613 99384 103484 127462 149076 155226 191193 206968 232839 254924 298152 310452 382386 465678 509848 573579 620904 764772 931356 1147158 1529544 1862712 2294316 2612971 4588632 5225942 7838913 10451884 15677826 20903768 23516739 31355652 47033478 62711304 94066956 188133912