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93465800190 = 23257237955921
BaseRepresentation
bin101011100001011111…
…1101110110111111110
322221020210101121012100
41113002333232313332
53012404221101230
6110534304245530
76516112123200
oct1270277566776
9287223347170
1093465800190
113670300a074
12161456108a6
138a76b76119
144749316770
152670780660
hex15c2feedfe

93465800190 has 144 divisors (see below), whose sum is σ = 283437301680. Its totient is φ = 21306862080.

The previous prime is 93465800173. The next prime is 93465800243. The reversal of 93465800190 is 9100856439.

It is a happy number.

It is a super-2 number, since 2×934658001902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1643430 + ... + 1699350.

It is an arithmetic number, because the mean of its divisors is an integer number (1968314595).

Almost surely, 293465800190 is an apocalyptic number.

93465800190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93465800190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141718650840).

93465800190 is an abundant number, since it is smaller than the sum of its proper divisors (189971501490).

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

93465800190 is a wasteful number, since it uses less digits than its factorization.

93465800190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56327 (or 56317 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 93465800190 in words is "ninety-three billion, four hundred sixty-five million, eight hundred thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 379 441 490 630 735 758 882 1137 1470 1895 2205 2274 2653 3411 3790 4410 5306 5685 6822 7959 11370 13265 15918 17055 18571 23877 26530 34110 37142 39795 47754 55713 55921 79590 92855 111426 111842 119385 167139 167763 185710 238770 278565 279605 334278 335526 391447 503289 557130 559210 782894 835695 838815 1006578 1174341 1671390 1677630 1957235 2348682 2516445 2740129 3523023 3914470 5032890 5480258 5871705 7046046 8220387 11743410 13700645 16440774 17615115 21194059 24661161 27401290 35230230 41101935 42388118 49322322 63582177 82203870 105970295 123305805 127164354 148358413 190746531 211940590 246611610 296716826 317910885 381493062 445075239 635821770 741792065 890150478 953732655 1038508891 1335225717 1483584130 1907465310 2077017782 2225376195 2670451434 3115526673 4450752390 5192544455 6231053346 6676128585 9346580019 10385088910 13352257170 15577633365 18693160038 31155266730 46732900095 93465800190