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16817485771242 = 23213372917665897
BaseRepresentation
bin1111010010111010000001…
…0000111111000111101010
32012112201212111110202111100
43310232200100333013222
54201014202324134432
655433502445142230
73354010655304432
oct364564020770752
965481774422440
1016817485771242
1153a428a317982
121a77411b5a976
1394cb60c9a890
14421d836932c2
151e26dc34c07c
hexf4ba043f1ea

16817485771242 has 96 divisors (see below), whose sum is σ = 40315238872272. Its totient is φ = 5033023091712.

The previous prime is 16817485771231. The next prime is 16817485771291. The reversal of 16817485771242 is 24217758471861.

It is a happy number.

16817485771242 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 7 + 4 + 8 + 577 + 12 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12892415541201 + 3925070230041 = 3590601^2 + 1981179^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16817485771242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24922438 + ... + 25588334.

Almost surely, 216817485771242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16817485771242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157619436136).

16817485771242 is an abundant number, since it is smaller than the sum of its proper divisors (23497753101030).

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

16817485771242 is a wasteful number, since it uses less digits than its factorization.

16817485771242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668872 (or 668869 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 16817485771242 in words is "sixteen trillion, eight hundred seventeen billion, four hundred eighty-five million, seven hundred seventy-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 2917 4329 5834 8658 8751 17502 26253 37921 52506 75842 107929 113763 215858 227526 323787 341289 647574 665897 682578 971361 1331794 1403077 1942722 1997691 2806154 3995382 4209231 5993073 8418462 8656661 11986146 12627693 17313322 24638189 25255386 25969983 49276378 51939966 73914567 77909949 147829134 155819898 221743701 320296457 443487402 640592914 960889371 1921778742 1942421549 2882668113 3884843098 5765336226 5827264647 11654529294 17481793941 25251480137 34963587882 50502960274 71869597313 75754440411 143739194626 151508880822 215608791939 227263321233 431217583878 454526642466 646826375817 934304765069 1293652751634 1868609530138 2802914295207 5605828590414 8408742885621 16817485771242