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34506050235356 = 227219257283127399
BaseRepresentation
bin1111101100010000100001…
…10111011110101111011100
311112011202010222011222021202
413312020100313132233130
514010321342330012411
6201215505522015032
710160660043415100
oct766102067365734
9145152128158252
1034506050235356
11aaa3a2a872527
123a536064a7478
131633ba298ca6b
1487415d277900
153ec8acb2483b
hex1f6210ddebdc

34506050235356 has 144 divisors (see below), whose sum is σ = 74492125344000. Its totient is φ = 13906040020992.

The previous prime is 34506050235329. The next prime is 34506050235361. The reversal of 34506050235356 is 65353205060543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34506050235356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270786545 + ... + 270913943.

It is an arithmetic number, because the mean of its divisors is an integer number (517306426000).

Almost surely, 234506050235356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34506050235356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246062672000).

34506050235356 is an abundant number, since it is smaller than the sum of its proper divisors (39986075108644).

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

34506050235356 is a wasteful number, since it uses less digits than its factorization.

34506050235356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127976 (or 127967 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 47.

Adding to 34506050235356 its reverse (65353205060543), we get a palindrome (99859255295899).

The spelling of 34506050235356 in words is "thirty-four trillion, five hundred six billion, fifty million, two hundred thirty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 257 266 283 514 532 566 931 1028 1132 1799 1862 1981 3598 3724 3962 4883 5377 7196 7924 9766 10754 12593 13867 19532 21508 25186 27734 34181 37639 50372 55468 68362 72731 75278 127399 136724 145462 150556 239267 254798 263473 290924 478534 509117 509596 526946 891793 957068 1018234 1053892 1381889 1783586 2036468 2420581 2763778 3563819 3567172 4841162 5527556 6242551 7127638 9673223 9682324 12485102 14255276 16944067 19346446 24970204 32741543 33888134 36053917 38692892 65483086 67712561 67776268 72107834 118608469 130966172 135425122 144215668 229190801 237216938 252377419 270850244 458381602 474433876 504754838 622089317 685024423 916763204 1009509676 1244178634 1370048846 1604335607 1766641933 2488357268 2740097692 3208671214 3533283866 4354625219 4795170961 6417342428 7066567732 8709250438 9265856669 9590341922 17418500876 18531713338 19180683844 30482376533 33566196727 37063426676 60964753066 64860996683 67132393454 121929506132 129721993366 134264786908 176051276711 259443986732 352102553422 454026976781 704205106844 908053953562 1232358936977 1816107907124 2464717873954 4929435747908 8626512558839 17253025117678 34506050235356