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513216414605 = 52919717966617
BaseRepresentation
bin1110111011111100001…
…01010000001110001101
31211001200221020010201202
413131332011100032031
531402031400231410
61031433544515245
752035660355346
oct7357605201615
91731627203652
10513216414605
111887213173a4
128356b17bb25
133951c30324b
141aba86050cd
15d53b082ca5
hex777e15038d

513216414605 has 16 divisors (see below), whose sum is σ = 640330265520. Its totient is φ = 394403154432.

The previous prime is 513216414593. The next prime is 513216414619. The reversal of 513216414605 is 506414612315.

It can be written as a sum of positive squares in 8 ways, for example, as 94518123844 + 418698290761 = 307438^2 + 647069^2 .

It is a cyclic number.

It is not a de Polignac number, because 513216414605 - 28 = 513216414349 is a prime.

It is a super-2 number, since 2×5132164146052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 8954744 + ... + 9011873.

It is an arithmetic number, because the mean of its divisors is an integer number (40020641595).

Almost surely, 2513216414605 is an apocalyptic number.

It is an amenable number.

513216414605 is a deficient number, since it is larger than the sum of its proper divisors (127113850915).

513216414605 is a wasteful number, since it uses less digits than its factorization.

513216414605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966848.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 513216414605 in words is "five hundred thirteen billion, two hundred sixteen million, four hundred fourteen thousand, six hundred five".

Divisors: 1 5 29 145 197 985 5713 28565 17966617 89833085 521031893 2605159465 3539423549 17697117745 102643282921 513216414605