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192020432112 = 243317243710729
BaseRepresentation
bin1011001011010101001…
…1110100010011110000
3200100122020022122012000
42302311103310103300
511121224212311422
6224114000134000
716605305512455
oct2626523642360
9610566278160
10192020432112
11744875897a3
123126b307300
13151520b1082
14941841582c
154edcb62cac
hex2cb54f44f0

192020432112 has 160 divisors (see below), whose sum is σ = 583885396800. Its totient is φ = 60211372032.

The previous prime is 192020432101. The next prime is 192020432147. The reversal of 192020432112 is 211234020291.

192020432112 is a `hidden beast` number, since 19 + 202 + 0 + 432 + 1 + 12 = 666.

192020432112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17891964 + ... + 17902692.

It is an arithmetic number, because the mean of its divisors is an integer number (3649283730).

Almost surely, 2192020432112 is an apocalyptic number.

192020432112 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 192020432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291942698400).

192020432112 is an abundant number, since it is smaller than the sum of its proper divisors (391864964688).

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

192020432112 is a wasteful number, since it uses less digits than its factorization.

192020432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 192020432112 in words is "one hundred ninety-two billion, twenty million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2437 2448 3672 4874 7311 7344 9748 10729 14622 19496 21458 21933 29244 32187 38992 41429 42916 43866 58488 64374 65799 82858 85832 87732 96561 116976 124287 128748 131598 165716 171664 175464 182393 193122 248574 257496 263196 289683 331432 350928 364786 372861 386244 497148 514992 526392 547179 579366 662864 729572 745722 772488 994296 1052784 1094358 1118583 1158732 1459144 1491444 1544976 1641537 1988592 2188716 2237166 2317464 2918288 2982888 3283074 4377432 4474332 4634928 4924611 5965776 6566148 8754864 8948664 9849222 13132296 17897328 19698444 26146573 26264592 39396888 52293146 78439719 78793776 104586292 156879438 209172584 235319157 313758876 418345168 444491741 470638314 627517752 705957471 888983482 941276628 1255035504 1333475223 1411914942 1777966964 1882553256 2666950446 2823829884 3555933928 3765106512 4000425669 5333900892 5647659768 7111867856 8000851338 10667801784 11295319536 12001277007 16001702676 21335603568 24002554014 32003405352 48005108028 64006810704 96010216056 192020432112