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342035166716166 = 237113793085163317
BaseRepresentation
bin100110111000101000100010…
…0100111001110000100000110
31122212001020112212002201122210
41031301101010213032010012
5324312401010134404131
63211240441510204250
7132021140166306150
oct11561210447160406
91585036485081583
10342035166716166
1199a8a332855770
1232440859353686
13118b0a15b5a021
14606683a0a7ad0
1529821bda6b146
hex13714449ce106

342035166716166 has 128 divisors (see below), whose sum is σ = 855158441103360. Its totient is φ = 88601624496000.

The previous prime is 342035166716153. The next prime is 342035166716183. The reversal of 342035166716166 is 661617661530243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5401916740 + ... + 5401980056.

It is an arithmetic number, because the mean of its divisors is an integer number (6680925321120).

Almost surely, 2342035166716166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342035166716166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427579220551680).

342035166716166 is an abundant number, since it is smaller than the sum of its proper divisors (513123274387194).

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

342035166716166 is a wasteful number, since it uses less digits than its factorization.

342035166716166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94570.

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 342035166716166 in words is "three hundred forty-two trillion, thirty-five billion, one hundred sixty-six million, seven hundred sixteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 379 462 758 1137 2274 2653 4169 5306 7959 8338 12507 15918 25014 29183 30851 58366 61702 63317 87549 92553 126634 175098 185106 189951 215957 339361 379902 431914 443219 647871 678722 696487 886438 1018083 1295742 1329657 1392974 2036166 2089461 2375527 2659314 4178922 4751054 4875409 7126581 9750818 11692529 14253162 14626227 23385058 23997143 29252454 35077587 47994286 70155174 71991429 81847703 128617819 143982858 163695406 167980001 245543109 257235638 263968573 335960002 385853457 491086218 503940003 527937146 771706914 791905719 900324733 1007880006 1583811438 1800649466 1847780011 1953392767 2700974199 3695560022 3906785534 5401948398 5543340033 5860178301 11086680066 11720356602 13673749369 21487320437 27347498738 41021248107 42974640874 64461961311 82042496214 128923922622 150411243059 300822486118 451233729177 740335858693 902467458354 1480671717386 2221007576079 4442015152158 5182351010851 8143694445623 10364702021702 15547053032553 16287388891246 24431083336869 31094106065106 48862166673738 57005861119361 114011722238722 171017583358083 342035166716166