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42666290568 = 23341120272953
BaseRepresentation
bin100111101111000110…
…111110110110001000
311002010111011010120000
4213233012332312020
51144340032244233
631333422403000
73040211325456
oct475706766610
9132114133500
1042666290568
1117105010670
128328a30460
13403c5957a5
1420ca7479d6
15119ab0dd13
hex9ef1bed88

42666290568 has 160 divisors (see below), whose sum is σ = 130477707360. Its totient is φ = 12918424320.

The previous prime is 42666290551. The next prime is 42666290581. The reversal of 42666290568 is 86509266624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14446980 + ... + 14449932.

It is an arithmetic number, because the mean of its divisors is an integer number (815485671).

Almost surely, 242666290568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666290568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65238853680).

42666290568 is an abundant number, since it is smaller than the sum of its proper divisors (87811416792).

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

42666290568 is a wasteful number, since it uses less digits than its factorization.

42666290568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 42666290568 in words is "forty-two billion, six hundred sixty-six million, two hundred ninety thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2027 2376 2953 3564 4054 5906 6081 7128 8108 8859 11812 12162 16216 17718 18243 22297 23624 24324 26577 32483 35436 36486 44594 48648 53154 54729 64966 66891 70872 72972 79731 89188 97449 106308 109458 129932 133782 145944 159462 164187 178376 194898 200673 212616 218916 239193 259864 267564 292347 318924 328374 389796 401346 437832 478386 535128 584694 602019 637848 656748 779592 802692 877041 956772 1169388 1204038 1313496 1605384 1754082 1806057 1913544 2338776 2408076 2631123 3508164 3612114 4816152 5262246 5985731 7016328 7224228 10524492 11971462 14448456 17957193 21048984 23942924 35914386 47885848 53871579 65843041 71828772 107743158 131686082 143657544 161614737 197529123 215486316 263372164 323229474 395058246 430972632 484844211 526744328 592587369 646458948 790116492 969688422 1185174738 1292917896 1580232984 1777762107 1939376844 2370349476 3555524214 3878753688 4740698952 5333286321 7111048428 10666572642 14222096856 21333145284 42666290568