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10645301340505 = 5131015131613329
BaseRepresentation
bin1001101011101000110101…
…1001111010100101011001
31101200200101100112211211201
42122322031121322211121
52343403034120344010
634350214532154201
72146045330262326
oct232721531724531
941620340484751
1010645301340505
1134347130a21a7
12123b169a68961
135c2b03273b50
1428b341a83b4d
15136d96dc523a
hex9ae8d67a959

10645301340505 has 16 divisors (see below), whose sum is σ = 13757148856080. Its totient is φ = 7861063292928.

The previous prime is 10645301340463. The next prime is 10645301340521. The reversal of 10645301340505 is 50504310354601.

It can be written as a sum of positive squares in 8 ways, for example, as 2804443849 + 10642496896656 = 52957^2 + 3262284^2 .

It is a cyclic number.

It is not a de Polignac number, because 10645301340505 - 231 = 10643153856857 is a prime.

It is a super-3 number, since 3×106453013405053 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5791681 + ... + 7405009.

It is an arithmetic number, because the mean of its divisors is an integer number (859821803505).

Almost surely, 210645301340505 is an apocalyptic number.

It is an amenable number.

10645301340505 is a deficient number, since it is larger than the sum of its proper divisors (3111847515575).

10645301340505 is a wasteful number, since it uses less digits than its factorization.

10645301340505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714860.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 10645301340505 in words is "ten trillion, six hundred forty-five billion, three hundred one million, three hundred forty thousand, five hundred five".

Divisors: 1 5 13 65 101513 507565 1319669 1613329 6598345 8066645 20973277 104866385 163773866777 818869333885 2129060268101 10645301340505