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192129127020 = 2232561105116649
BaseRepresentation
bin1011001011101111001…
…0011101001001101100
3200100220210211220120100
42302323302131021230
511121440024031040
6224132441551100
716611065430315
oct2627362351154
9610823756510
10192129127020
11745329798a6
123129b7a5490
131516b77a39c
149428a2b60c
154ee7483b30
hex2cbbc9d26c

192129127020 has 144 divisors (see below), whose sum is σ = 592944861600. Its totient is φ = 50343552000.

The previous prime is 192129126989. The next prime is 192129127031. The reversal of 192129127020 is 20721921291.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11531656 + ... + 11548304.

It is an arithmetic number, because the mean of its divisors is an integer number (4117672650).

Almost surely, 2192129127020 is an apocalyptic number.

192129127020 is a gapful number since it is divisible by the number (10) 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 192129127020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296472430800).

192129127020 is an abundant number, since it is smaller than the sum of its proper divisors (400815734580).

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

192129127020 is a wasteful number, since it uses less digits than its factorization.

192129127020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17776 (or 17771 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 192129127020 in words is "one hundred ninety-two billion, one hundred twenty-nine million, one hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1051 1098 1220 1830 2102 2196 2745 3153 3660 4204 5255 5490 6306 9459 10510 10980 12612 15765 16649 18918 21020 31530 33298 37836 47295 49947 63060 64111 66596 83245 94590 99894 128222 149841 166490 189180 192333 199788 249735 256444 299682 320555 332980 384666 499470 576999 599364 641110 749205 769332 961665 998940 1015589 1153998 1282220 1498410 1923330 2031178 2307996 2884995 2996820 3046767 3846660 4062356 5077945 5769990 6093534 9140301 10155890 11539980 12187068 15233835 17498099 18280602 20311780 30467670 34996198 36561204 45701505 52494297 60935340 69992396 87490495 91403010 104988594 157482891 174980990 182806020 209977188 262471485 314965782 349961980 524942970 629931564 787414455 1049885940 1067384039 1574828910 2134768078 3149657820 3202152117 4269536156 5336920195 6404304234 9606456351 10673840390 12808608468 16010760585 19212912702 21347680780 32021521170 38425825404 48032281755 64043042340 96064563510 192129127020