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35136706037420 = 22513297132780761
BaseRepresentation
bin1111111110100111001101…
…11000011100011010101100
311121102000222110100010110102
413333103212320130122230
514101134433221144140
6202421325132330232
710254354221322251
oct777234670343254
9147360873303412
1035136706037420
1110217436600929
123b3588b913978
13167b4b9818200
148968a8ab7428
1540debde5ce15
hex1ff4e6e1c6ac

35136706037420 has 144 divisors (see below), whose sum is σ = 80785161249408. Its totient is φ = 12829970350080.

The previous prime is 35136706037371. The next prime is 35136706037429. The reversal of 35136706037420 is 2473060763153.

It is a super-2 number, since 2×351367060374202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35136706037429) 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, 435029840 + ... + 435110600.

It is an arithmetic number, because the mean of its divisors is an integer number (561008064232).

Almost surely, 235136706037420 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 35136706037420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392580624704).

35136706037420 is an abundant number, since it is smaller than the sum of its proper divisors (45648455211988).

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

35136706037420 is a wasteful number, since it uses less digits than its factorization.

35136706037420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82220 (or 82205 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 47.

The spelling of 35136706037420 in words is "thirty-five trillion, one hundred thirty-six billion, seven hundred six million, thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 169 194 260 338 388 485 676 845 970 1261 1327 1690 1940 2522 2654 3380 5044 5308 6305 6635 12610 13270 16393 17251 25220 26540 32786 34502 65572 69004 80761 81965 86255 128719 161522 163930 172510 224263 257438 323044 327860 345020 403805 448526 514876 643595 807610 897052 1049893 1121315 1287190 1615220 1673347 2099786 2242630 2574380 3346694 4199572 4485260 5249465 6693388 7833817 8366735 10498930 13648609 15667634 16733470 20997860 21753511 27297218 31335268 33466940 39169085 43507022 54594436 68243045 78338170 87014044 101839621 107169847 108767555 136486090 156676340 203679242 214339694 217535110 272972180 407358484 428679388 435070220 509198105 535849235 1018396210 1071698470 1323915073 1393208011 2036792420 2143396940 2647830146 2786416022 5295660292 5572832044 6619575365 6966040055 10395475159 13239150730 13932080110 18111704143 20790950318 26478301460 27864160220 36223408286 41581900636 51977375795 72446816572 90558520715 103954751590 135141177067 181117041430 207909503180 270282354134 362234082860 540564708268 675705885335 1351411770670 1756835301871 2702823541340 3513670603742 7027341207484 8784176509355 17568353018710 35136706037420