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349743402012852 = 2232232917384192827
BaseRepresentation
bin100111110000101101111101…
…1001111010101000010110100
31200212100010212000201112001100
41033201123323033111002310
5331320143441403402402
63235501522324130100
7133445061353256261
oct11741337317250264
91625303760645040
10349743402012852
11a149138670aa21
1233286745836930
131201c879b2a7b3
14625195723c268
152a679662ea71c
hex13e16fb3d50b4

349743402012852 has 144 divisors (see below), whose sum is σ = 959838651757440. Its totient is φ = 107044779604224.

The previous prime is 349743402012847. The next prime is 349743402012863. The reversal of 349743402012852 is 258210204347943.

349743402012852 is a `hidden beast` number, since 3 + 4 + 9 + 74 + 340 + 201 + 28 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37942338 + ... + 46250489.

It is an arithmetic number, because the mean of its divisors is an integer number (6665546192760).

Almost surely, 2349743402012852 is an apocalyptic number.

It is an amenable number.

349743402012852 is an abundant number, since it is smaller than the sum of its proper divisors (610095249744588).

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

349743402012852 is a wasteful number, since it uses less digits than its factorization.

349743402012852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84193062 (or 84193057 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 349743402012852 in words is "three hundred forty-nine trillion, seven hundred forty-three billion, four hundred two million, twelve thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 173 174 207 261 276 346 348 414 519 522 667 692 828 1038 1044 1334 1557 2001 2076 2668 3114 3979 4002 5017 6003 6228 7958 8004 10034 11937 12006 15051 15916 20068 23874 24012 30102 35811 45153 47748 60204 71622 90306 115391 143244 180612 230782 346173 461564 692346 1038519 1384692 2077038 4154076 84192827 168385654 252578481 336771308 505156962 757735443 1010313924 1515470886 1936435021 2441591983 3030941772 3872870042 4883183966 5809305063 7324775949 7745740084 9766367932 11618610126 14565359071 14649551898 17427915189 21974327847 23237220252 29130718142 29299103796 34855830378 43696077213 43948655694 56156615609 58261436284 69711660756 87392154426 87897311388 112313231218 131088231639 168469846827 174784308852 224626462436 262176463278 335003258633 336939693654 422395413059 505409540481 524352926556 670006517266 673879387308 844790826118 1005009775899 1010819080962 1267186239177 1340013034532 1689581652236 2010019551798 2021638161924 2534372478354 3015029327697 3801558717531 4020039103596 5068744956708 6030058655394 7603117435062 9715094500357 12060117310788 15206234870124 19430189000714 29145283501071 38860378001428 58290567002142 87435850503213 116581134004284 174871701006426 349743402012852