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20413152154312 = 23177115717097879
BaseRepresentation
bin1001010010000110011101…
…01011101101001011001000
32200021110220200010112120221
410221003032223231023020
510133422113422414222
6111225401142355424
74204541640262051
oct451031653551310
980243820115527
1020413152154312
116560195248655
12235825742bb74
13b50c4b6983b8
14508005075728
15255ed62390c7
hex1290ceaed2c8

20413152154312 has 128 divisors (see below), whose sum is σ = 41388117696000. Its totient is φ = 9403866501120.

The previous prime is 20413152154303. The next prime is 20413152154313. The reversal of 20413152154312 is 21345125131402.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (20413152154313) 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, 2590826389 + ... + 2590834267.

It is an arithmetic number, because the mean of its divisors is an integer number (323344669500).

Almost surely, 220413152154312 is an apocalyptic number.

It is an amenable number.

20413152154312 is an abundant number, since it is smaller than the sum of its proper divisors (20974965541688).

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

20413152154312 is a wasteful number, since it uses less digits than its factorization.

20413152154312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 20413152154312 its reverse (21345125131402), we get a palindrome (41758277285714).

The spelling of 20413152154312 in words is "twenty trillion, four hundred thirteen billion, one hundred fifty-two million, one hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 17 34 68 71 136 142 157 284 314 568 628 1207 1256 1709 2414 2669 3418 4828 5338 6836 7879 9656 10676 11147 13672 15758 21352 22294 29053 31516 44588 58106 63032 89176 116212 121339 133943 189499 232424 242678 267886 268313 378998 485356 535772 536626 559409 757996 970712 1071544 1073252 1118818 1237003 1515992 2062763 2146504 2237636 2474006 4125526 4475272 4561321 4948012 8251052 9122642 9509953 9896024 13465211 16502104 18245284 19019906 19050223 21029051 26930422 36490568 38039812 38100446 42058102 53860844 76079624 76200892 84116204 87827213 107721688 152401784 168232408 175654426 228908587 323853791 351308852 457817174 647707582 702617704 915634348 956029981 1295415164 1493062621 1831268696 1912059962 2114038127 2590830328 2986125242 3824119924 4228076254 5972250484 7648239848 8456152508 11944500968 16252509677 16912305016 32505019354 35938648159 65010038708 71877296318 130020077416 143754592636 150096707017 287509185272 300193414034 600386828068 1200773656136 2551644019289 5103288038578 10206576077156 20413152154312