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192130546212 = 223511171057033
BaseRepresentation
bin1011001011101111011…
…1110111101000100100
3200100220220112000100000
42302323313313220210
511121440404434322
6224132532221300
716611113461023
oct2627367675044
9610826460300
10192130546212
1174533759090
12312a016a830
131516bb56347
149428cba8ba
154ee76643ac
hex2cbbdf7a24

192130546212 has 144 divisors (see below), whose sum is σ = 581757688512. Its totient is φ = 54796538880.

The previous prime is 192130546211. The next prime is 192130546303. The reversal of 192130546212 is 212645031291.

192130546212 is a `hidden beast` number, since 1 + 9 + 21 + 3 + 0 + 5 + 4 + 621 + 2 = 666.

It is a super-4 number, since 4×1921305462124 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (192130546211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346753 + ... + 710280.

It is an arithmetic number, because the mean of its divisors is an integer number (4039983948).

Almost surely, 2192130546212 is an apocalyptic number.

192130546212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

192130546212 is an abundant number, since it is smaller than the sum of its proper divisors (389627142300).

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

192130546212 is a wasteful number, since it uses less digits than its factorization.

192130546212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057080 (or 1057066 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 192130546212 in words is "one hundred ninety-two billion, one hundred thirty million, five hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 243 297 306 324 374 396 459 486 561 594 612 748 891 918 972 1122 1188 1377 1683 1782 1836 2244 2673 2754 3366 3564 4131 5049 5346 5508 6732 8262 10098 10692 15147 16524 20196 30294 45441 60588 90882 181764 1057033 2114066 3171099 4228132 6342198 9513297 11627363 12684396 17969561 19026594 23254726 28539891 34882089 35939122 38053188 46509452 53908683 57079782 69764178 71878244 85619673 104646267 107817366 114159564 139528356 161726049 171239346 197665171 209292534 215634732 256859019 313938801 323452098 342478692 395330342 418585068 485178147 513718038 592995513 627877602 646904196 790660684 941816403 970356294 1027436076 1185991026 1255755204 1455534441 1778986539 1883632806 1940712588 2371982052 2825449209 2911068882 3557973078 3767265612 4366603323 5336959617 5650898418 5822137764 7115946156 8733206646 10673919234 11301796836 16010878851 17466413292 21347838468 32021757702 48032636553 64043515404 96065273106 192130546212