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3287143689426 = 2322926116321839
BaseRepresentation
bin101111110101011001000…
…010000010110011010010
3102122020200200210001120100
4233311121002002303102
5412324032241030201
610554032025153230
7456326325226422
oct57653102026322
912566620701510
103287143689426
111058084a0a613
124510a192b816
131aac8cc8953c
14b51547d4482
155a78d3d5886
hex2fd59082cd2

3287143689426 has 144 divisors (see below), whose sum is σ = 7543465937280. Its totient is φ = 1034156833920.

The previous prime is 3287143689421. The next prime is 3287143689451. The reversal of 3287143689426 is 6249863417823.

3287143689426 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 143 + 68 + 9 + 426 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3287143689421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150506215 + ... + 150528053.

It is an arithmetic number, because the mean of its divisors is an integer number (52385180120).

Almost surely, 23287143689426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287143689426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771732968640).

3287143689426 is an abundant number, since it is smaller than the sum of its proper divisors (4256322247854).

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

3287143689426 is a wasteful number, since it uses less digits than its factorization.

3287143689426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22129 (or 22097 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 3287143689426 in words is "three trillion, two hundred eighty-seven billion, one hundred forty-three million, six hundred eighty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 163 174 183 261 326 366 489 522 549 841 978 1098 1467 1682 1769 2523 2934 3538 4727 5046 5307 7569 9454 9943 10614 14181 15138 15921 19886 21839 28362 29829 31842 42543 43678 51301 59658 65517 85086 89487 102602 131034 137083 153903 178974 196551 274166 288347 307806 393102 411249 461709 576694 633331 822498 865041 923418 1233747 1266662 1332179 1730082 1899993 2467494 2595123 2664358 3559757 3799986 3996537 5190246 5699979 7119514 7993074 8362063 10679271 11399958 11989611 16724126 18366599 21358542 23979222 25086189 32037813 36733198 38633191 50172378 55099797 64075626 75258567 77266382 103232953 110199594 115899573 150517134 165299391 206465906 217145177 231799146 309698859 330598782 347698719 434290354 619397718 651435531 695397438 929096577 1120362539 1302871062 1858193154 1954306593 2240725078 2993755637 3361087617 3908613186 5987511274 6297210133 6722175234 8981266911 10083262851 12594420266 17962533822 18891630399 20166525702 26943800733 37783260798 53887601466 56674891197 113349782394 182619093857 365238187714 547857281571 1095714563142 1643571844713 3287143689426