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83434322343438 = 23311253240929369
BaseRepresentation
bin10010111110001000010001…
…001001010011011000001110
3101221102020120101020100222000
4102332020101021103120032
541413441443004442223
6453241110515133130
723400634200306603
oct2276102111233016
9357366511210860
1083434322343438
112464832a91a900
1294361698a41a6
133772a90a089c1
14168635815a6aa
1599a4b8d99543
hex4be21125360e

83434322343438 has 96 divisors (see below), whose sum is σ = 207642568240800. Its totient is φ = 24806087729280.

The previous prime is 83434322343401. The next prime is 83434322343439.

83434322343438 is a `hidden beast` number, since 8 + 3 + 4 + 34 + 32 + 234 + 343 + 8 = 666.

83434322343438 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×834343223434382 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83434322343439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120118383 + ... + 120810986.

It is an arithmetic number, because the mean of its divisors is an integer number (2162943419175).

Almost surely, 283434322343438 is an apocalyptic number.

83434322343438 is an abundant number, since it is smaller than the sum of its proper divisors (124208245897362).

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

83434322343438 is a wasteful number, since it uses less digits than its factorization.

83434322343438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240929455 (or 240929438 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 83434322343438 in words is "eighty-three trillion, four hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 121 159 198 242 297 318 363 477 583 594 726 954 1089 1166 1431 1749 2178 2862 3267 3498 5247 6413 6534 10494 12826 15741 19239 31482 38478 57717 115434 173151 346302 240929369 481858738 722788107 1445576214 2168364321 2650223059 4336728642 5300446118 6505092963 7950669177 12769256557 13010185926 15901338354 23852007531 25538513114 29152453649 38307769671 47704015062 58304907298 71556022593 76615539342 87457360947 114923309013 140461822127 143112045186 174914721894 229846618026 262372082841 280923644254 344769927039 421385466381 524744165682 689539854078 787116248523 842770932762 1264156399143 1545080043397 1574232497046 2528312798286 3090160086794 3792469197429 4635240130191 7584938394858 9270480260382 13905720390573 27811440781146 41717161171719 83434322343438