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191019040128 = 273377895959
BaseRepresentation
bin1011000111100110011…
…1110011110110000000
3200021001110000122122000
42301321213303312000
511112201333241003
6223430344544000
716541426023350
oct2617147636600
9607043018560
10191019040128
11740132a5114
123102ba82000
13150227a7437
149361424b60
154e7eca91a3
hex2c799f3d80

191019040128 has 128 divisors (see below), whose sum is σ = 644310336000. Its totient is φ = 54576861696.

The previous prime is 191019040063. The next prime is 191019040181. The reversal of 191019040128 is 821040910191.

191019040128 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 191019040092 and 191019040101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3923788 + ... + 3972171.

It is an arithmetic number, because the mean of its divisors is an integer number (5033674500).

Almost surely, 2191019040128 is an apocalyptic number.

191019040128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

191019040128 is an abundant number, since it is smaller than the sum of its proper divisors (453291295872).

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

191019040128 is an equidigital number, since it uses as much as digits as its factorization.

191019040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895989 (or 7895971 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 191019040128 in words is "one hundred ninety-one billion, nineteen million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 7895959 15791918 23687877 31583836 47375754 55271713 63167672 71063631 94751508 110543426 126335344 142127262 165815139 189503016 213190893 221086852 252670688 284254524 331630278 379006032 426381786 442173704 497445417 505341376 568509048 663260556 758012064 852763572 884347408 994890834 1010682752 1137018096 1326521112 1492336251 1516024128 1705527144 1768694816 1989781668 2274036192 2653042224 2984672502 3032048256 3411054288 3537389632 3979563336 4548072384 5306084448 5969345004 6822108576 7074779264 7959126672 9096144768 10612168896 11938690008 13644217152 15918253344 21224337792 23877380016 27288434304 31836506688 47754760032 63673013376 95509520064 191019040128