Search a number
-
+
146891330160 = 243517191894883
BaseRepresentation
bin1000100011001101100…
…1111101001001110000
3112001011002221201112120
42020303121331021300
54401313140031120
6151251514554240
713420050463611
oct2106331751160
9461132851476
10146891330160
1157329365523
1224575738980
1310b0c50a153
14717697bc08
153c4ac22140
hex223367d270

146891330160 has 160 divisors (see below), whose sum is σ = 507525730560. Its totient is φ = 34926465024.

The previous prime is 146891330077. The next prime is 146891330161. The reversal of 146891330160 is 61033198641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146891330161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869922 + ... + 1024961.

It is an arithmetic number, because the mean of its divisors is an integer number (3172035816).

Almost surely, 2146891330160 is an apocalyptic number.

146891330160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146891330160 is an abundant number, since it is smaller than the sum of its proper divisors (360634400400).

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

146891330160 is a wasteful number, since it uses less digits than its factorization.

146891330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894935 (or 1894929 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 146891330160 in words is "one hundred forty-six billion, eight hundred ninety-one million, three hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 380 408 456 510 570 646 680 760 816 912 969 1020 1140 1292 1360 1520 1615 1938 2040 2280 2584 3230 3876 4080 4560 4845 5168 6460 7752 9690 12920 15504 19380 25840 38760 77520 1894883 3789766 5684649 7579532 9474415 11369298 15159064 18948830 22738596 28423245 30318128 32213011 36002777 37897660 45477192 56846490 64426022 72005554 75795320 90954384 96639033 108008331 113692980 128852044 144011108 151590640 161065055 180013885 193278066 216016662 227385960 257704088 288022216 322130110 360027770 386556132 432033324 454771920 483195165 515408176 540041655 576044432 612047209 644260220 720055540 773112264 864066648 966390330 1080083310 1224094418 1288520440 1440111080 1546224528 1728133296 1836141627 1932780660 2160166620 2448188836 2577040880 2880222160 3060236045 3672283254 3865561320 4320333240 4896377672 6120472090 7344566508 7731122640 8640666480 9180708135 9792755344 12240944180 14689133016 18361416270 24481888360 29378266032 36722832540 48963776720 73445665080 146891330160