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34354242651666 = 2372929661100673
BaseRepresentation
bin1111100111110101110000…
…11011100000011000010010
311111122020022020102200202010
413303322320123200120102
514000324442104323131
6201022042102403350
710144004105302410
oct763727033403022
9144566266380663
1034354242651666
11aa456093aaa63
123a2a0ba430556
13162278ba96772
1486aa7b7d82b0
153e89754deb46
hex1f3eb86e0612

34354242651666 has 96 divisors (see below), whose sum is σ = 81334302311808. Its totient is φ = 9475957370880.

The previous prime is 34354242651623. The next prime is 34354242651713. The reversal of 34354242651666 is 66615624245343.

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, 341195506 + ... + 341296178.

It is an arithmetic number, because the mean of its divisors is an integer number (847232315748).

Almost surely, 234354242651666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34354242651666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40667151155904).

34354242651666 is an abundant number, since it is smaller than the sum of its proper divisors (46980059660142).

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

34354242651666 is a wasteful number, since it uses less digits than its factorization.

34354242651666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110404 (or 110375 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 57.

The spelling of 34354242651666 in words is "thirty-four trillion, three hundred fifty-four billion, two hundred forty-two million, six hundred fifty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 841 1218 1682 2523 5046 5887 9661 11774 17661 19322 28983 35322 57966 67627 100673 135254 201346 202881 280169 302019 405762 560338 604038 704711 840507 1409422 1681014 1961183 2114133 2919517 3922366 4228266 5839034 5883549 8124901 8758551 11767098 16249802 17517102 20436619 24374703 40873238 48749406 56874307 61309857 84665993 113748614 122619714 169331986 170622921 253997979 341245842 507995958 592661951 972601853 1185323902 1777985853 1945203706 2917805559 3555971706 5835611118 6808212971 13616425942 20424638913 28205453737 40849277826 56410907474 84616361211 169232722422 197438176159 394876352318 592314528477 817958158373 1184629056954 1635916316746 2453874475119 4907748950238 5725707108611 11451414217222 17177121325833 34354242651666