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35025343513134 = 231317109352968669
BaseRepresentation
bin1111111011010111110010…
…01010001000001000101110
311121000101112102002202010220
413331223321022020020232
514042323400414410014
6202254230511112210
710243332443431632
oct775537112101056
9147011472082126
1035025343513134
111018418a339097
123b18190812666
131670b4cc61420
14891342978dc2
1540b1524246a9
hex1fdaf928822e

35025343513134 has 128 divisors (see below), whose sum is σ = 80633632464000. Its totient is φ = 10047035916288.

The previous prime is 35025343513133. The next prime is 35025343513247. The reversal of 35025343513134 is 43131534352053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35025343513133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510026152 + ... + 510094820.

It is an arithmetic number, because the mean of its divisors is an integer number (629950253625).

Almost surely, 235025343513134 is an apocalyptic number.

35025343513134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35025343513134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40316816232000).

35025343513134 is an abundant number, since it is smaller than the sum of its proper divisors (45608288950866).

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

35025343513134 is a wasteful number, since it uses less digits than its factorization.

35025343513134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72342.

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 35025343513134 its reverse (43131534352053), we get a palindrome (78156877865187).

The spelling of 35025343513134 in words is "thirty-five trillion, twenty-five billion, three hundred forty-three million, five hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 109 218 221 327 442 654 663 1326 1417 1853 2834 3529 3706 4251 5559 7058 8502 10587 11118 21174 24089 45877 48178 59993 68669 72267 91754 119986 137338 137631 144534 179979 206007 275262 359958 384661 412014 769322 779909 892697 1153983 1167373 1559818 1785394 2307966 2334746 2339727 2678091 3502119 4679454 5000593 5356182 6539237 7004238 7484921 10001186 13078474 14969842 15001779 15175849 19617711 22454763 30003558 30351698 39235422 44909526 45527547 85010081 91055094 97303973 127243657 170020162 194607946 242332901 254487314 255030243 291911919 381730971 484665802 510060486 583823838 726998703 763461942 1453997406 1654167541 3150327713 3308335082 4119659317 4962502623 6300655426 8239318634 9450983139 9925005246 12358977951 18901966278 24717955902 26414286209 52828572418 53555571121 79242858627 107111142242 158485717254 160666713363 321333426726 343385720717 449042865553 686771441434 898085731106 1030157162151 1347128596659 2060314324302 2694257193318 5837557252189 11675114504378 17512671756567 35025343513134