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42091816870428 = 223134631613936109
BaseRepresentation
bin10011001001000010000111…
…10010101110001000011100
312112000221100002102011002020
421210201003302232020130
521004113020104323203
6225304414055300140
711603014314055503
oct1144410362561034
9175027302364066
1042091816870428
1112459048323656
12487981437a650
131a6431a199c60
14a5737d29183a
154ced88813153
hex264843cae21c

42091816870428 has 96 divisors (see below), whose sum is σ = 106007127475200. Its totient is φ = 12922197007104.

The previous prime is 42091816870379. The next prime is 42091816870451. The reversal of 42091816870428 is 82407861819024.

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 31 ways as a sum of consecutive naturals, for example, 1165669638 + ... + 1165705746.

It is an arithmetic number, because the mean of its divisors is an integer number (1104240911200).

Almost surely, 242091816870428 is an apocalyptic number.

It is an amenable number.

42091816870428 is an abundant number, since it is smaller than the sum of its proper divisors (63915310604772).

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

42091816870428 is a wasteful number, since it uses less digits than its factorization.

42091816870428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52731 (or 52729 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 42091816870428 in words is "forty-two trillion, ninety-one billion, eight hundred sixteen million, eight hundred seventy thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 463 926 1389 1852 2778 5556 6019 12038 16139 18057 24076 32278 36109 36114 48417 64556 72218 72228 96834 108327 144436 193668 209807 216654 419614 433308 469417 629421 839228 938834 1258842 1408251 1877668 2517684 2816502 5633004 7472357 14944714 16718467 22417071 29889428 33436934 44834142 50155401 66873868 89668284 97140641 100310802 194281282 200621604 217340071 291421923 388562564 434680142 582763151 582843846 652020213 869360284 1165526302 1165687692 1304040426 1748289453 2331052604 2608080852 3496578906 6993157812 7575920963 15151841926 22727762889 30303683852 45455525778 90911051556 269819338913 539638677826 809458016739 1079277355652 1618916033478 3237832066956 3507651405869 7015302811738 10522954217607 14030605623476 21045908435214 42091816870428