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426065532030 = 233535344310091
BaseRepresentation
bin1100011001100110111…
…11000001010001111110
31111201202020110120222000
412030303133001101332
523440040234011110
6523422023003130
742532205160525
oct6146337012176
91451666416860
10426065532030
11154769981406
126a6a85994a6
1331240847988
141689bc754bc
15b139de41c0
hex63337c147e

426065532030 has 128 divisors (see below), whose sum is σ = 1142078538240. Its totient is φ = 113028664320.

The previous prime is 426065532007. The next prime is 426065532047. The reversal of 426065532030 is 30235560624.

426065532030 is a `hidden beast` number, since 4 + 2 + 60 + 65 + 532 + 0 + 3 + 0 = 666.

It is a super-3 number, since 3×4260655320303 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42217285 + ... + 42227375.

It is an arithmetic number, because the mean of its divisors is an integer number (8922488580).

Almost surely, 2426065532030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426065532030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571039269120).

426065532030 is an abundant number, since it is smaller than the sum of its proper divisors (716013006210).

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

426065532030 is a wasteful number, since it uses less digits than its factorization.

426065532030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 426065532030 in words is "four hundred twenty-six billion, sixty-five million, five hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 353 443 706 886 1059 1329 1765 2118 2215 2658 3177 3530 3987 4430 5295 6354 6645 7974 9531 10091 10590 11961 13290 15885 19062 19935 20182 23922 30273 31770 39870 47655 50455 59805 60546 90819 95310 100910 119610 151365 156379 181638 272457 302730 312758 454095 469137 544914 781895 908190 938274 1362285 1407411 1563790 2345685 2724570 2814822 3562123 4222233 4470313 4691370 7037055 7124246 8444466 8940626 10686369 13410939 14074110 17810615 21111165 21372738 22351565 26821878 32059107 35621230 40232817 42222330 44703130 53431845 64118214 67054695 80465634 96177321 106863690 120698451 134109390 160295535 192354642 201164085 241396902 320591070 402328170 480886605 603492255 961773210 1206984510 1578020489 3156040978 4734061467 7890102445 9468122934 14202184401 15780204890 23670307335 28404368802 42606553203 47340614670 71010922005 85213106406 142021844010 213032766015 426065532030