Search a number
-
+
512714701830 = 2353141132710133
BaseRepresentation
bin1110111011000000010…
…11010111110000000110
31211000101222011111012010
413131200023113300012
531400014430424310
61031312103235050
752020356026032
oct7354013276006
91730358144163
10512714701830
111884940a0141
128344b148a86
133946c39b696
141ab5bb251c2
15d50becc320
hex77602d7c06

512714701830 has 128 divisors (see below), whose sum is σ = 1302299099136. Its totient is φ = 128976307200.

The previous prime is 512714701819. The next prime is 512714701853. The reversal of 512714701830 is 38107417215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50593444 + ... + 50603576.

It is an arithmetic number, because the mean of its divisors is an integer number (10174211712).

Almost surely, 2512714701830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512714701830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651149549568).

512714701830 is an abundant number, since it is smaller than the sum of its proper divisors (789584397306).

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

512714701830 is a wasteful number, since it uses less digits than its factorization.

512714701830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542.

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 512714701830 in words is "five hundred twelve billion, seven hundred fourteen million, seven hundred one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 1230 1271 1327 2542 2654 3813 3981 6355 6635 7626 7962 10133 12710 13270 19065 19905 20266 30399 38130 39810 41137 50665 54407 60798 82274 101330 108814 123411 151995 163221 205685 246822 272035 303990 314123 326442 411370 415453 544070 617055 628246 816105 830906 942369 1234110 1246359 1570615 1632210 1686617 1884738 2077265 2492718 3141230 3373234 4154530 4711845 5059851 6231795 8433085 9423690 10119702 12463590 12879043 13446491 16866170 25299255 25758086 26892982 38637129 40339473 50598510 64395215 67232455 77274258 80678946 128790430 134464910 193185645 201697365 386371290 403394730 416841221 551306131 833682442 1102612262 1250523663 1653918393 2084206105 2501047326 2756530655 3307836786 4168412210 5513061310 6252618315 8269591965 12505236630 16539183930 17090490061 34180980122 51271470183 85452450305 102542940366 170904900610 256357350915 512714701830