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35210640012340 = 225131131198456093
BaseRepresentation
bin10000000000110000111011…
…01100001011010000110100
311121200002211001011012101211
420000120131230023100310
514103342342320343330
6202515313354131204
710262612324615452
oct1000303554132064
9147602731135354
1035210640012340
1110245826390541
123b48084120b04
13168546cca7a70
1489a2bdd779d2
15410d99b00d2a
hex20061db0b434

35210640012340 has 48 divisors (see below), whose sum is σ = 80334908893008. Its totient is φ = 12885799901184.

The previous prime is 35210640012337. The next prime is 35210640012349. The reversal of 35210640012340 is 4321004601253.

It can be written as a sum of positive squares in 8 ways, for example, as 7220678385424 + 27989961626916 = 2687132^2 + 5290554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35210640012349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599198667 + ... + 599257426.

It is an arithmetic number, because the mean of its divisors is an integer number (1673643935271).

Almost surely, 235210640012340 is an apocalyptic number.

It is an amenable number.

35210640012340 is an abundant number, since it is smaller than the sum of its proper divisors (45124268880668).

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

35210640012340 is a wasteful number, since it uses less digits than its factorization.

35210640012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198456228 (or 1198456226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 35210640012340 its reverse (4321004601253), we get a palindrome (39531644613593).

The spelling of 35210640012340 in words is "thirty-five trillion, two hundred ten billion, six hundred forty million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 1198456093 2396912186 4793824372 5992280465 11984560930 15579929209 23969121860 31159858418 62319716836 77899646045 135425538509 155799292090 270851077018 311598584180 541702154036 677127692545 1354255385090 1760532000617 2708510770180 3521064001234 7042128002468 8802660003085 17605320006170 35210640012340