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20136436706430 = 2345112539890107
BaseRepresentation
bin1001001010000011000010…
…01010000010110001111110
32122022000122220012022120000
410211001201022002301332
510114403410244101210
6110454315030135130
74145544446626122
oct445014112026176
978260586168500
1020136436706430
1164638a6623a60
1223126abab14a6
13b30b1c8782a5
144d8874533582
1524dbdcd46ac0
hex125061282c7e

20136436706430 has 160 divisors (see below), whose sum is σ = 59090211227520. Its totient is φ = 4879632300480.

The previous prime is 20136436706429. The next prime is 20136436706479. The reversal of 20136436706430 is 3460763463102.

20136436706430 is a `hidden beast` number, since 20 + 136 + 4 + 3 + 67 + 0 + 6 + 430 = 666.

It is a super-2 number, since 2×201364367064302 (a number of 27 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 79 ways as a sum of consecutive naturals, for example, 22177437 + ... + 23067543.

It is an arithmetic number, because the mean of its divisors is an integer number (369313820172).

Almost surely, 220136436706430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20136436706430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545105613760).

20136436706430 is an abundant number, since it is smaller than the sum of its proper divisors (38953774521090).

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

20136436706430 is a wasteful number, since it uses less digits than its factorization.

20136436706430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892676 (or 892667 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 20136436706430 in words is "twenty trillion, one hundred thirty-six billion, four hundred thirty-six million, seven hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2539 2970 4455 5078 7617 8910 12695 15234 22851 25390 27929 38085 45702 55858 68553 76170 83787 114255 137106 139645 167574 205659 228510 251361 279290 342765 411318 418935 502722 685530 754083 837870 890107 1028295 1256805 1508166 1780214 2056590 2262249 2513610 2670321 3770415 4450535 4524498 5340642 7540830 8010963 8901070 9791177 11311245 13351605 16021926 19582354 22622490 24032889 26703210 29373531 40054815 48065778 48955885 58747062 72098667 80109630 88120593 97911770 120164445 144197334 146867655 176241186 240328890 264361779 293735310 360493335 440602965 528723558 720986670 793085337 881205930 1321808895 1586170674 2259981673 2643617790 3965426685 4519963346 6779945019 7930853370 11299908365 13559890038 20339835057 22599816730 24859798403 33899725095 40679670114 49719596806 61019505171 67799450190 74579395209 101699175285 122039010342 124298992015 149158790418 183058515513 203398350570 223738185627 248597984030 305097525855 366117031026 372896976045 447476371254 610195051710 671214556881 745793952090 915292577565 1118690928135 1342429113762 1830585155130 2013643670643 2237381856270 3356072784405 4027287341286 6712145568810 10068218353215 20136436706430