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5015343430305 = 3251324241155501
BaseRepresentation
bin100100011111011100111…
…0000110111101010100001
3122202110110220111010220200
41020332321300313222201
51124132410404232210
614400003355255413
71025226612524115
oct110767160675241
918673426433820
105015343430305
111663aa468687a
1269001044a569
132a4c38b06100
14134a5b447745
158a6d97730c0
hex48fb9c37aa1

5015343430305 has 72 divisors (see below), whose sum is σ = 9415693994616. Its totient is φ = 2468494080000.

The previous prime is 5015343430291. The next prime is 5015343430337. The reversal of 5015343430305 is 5030343435105.

5015343430305 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 3 + 4 + 343 + 0 + 305 = 666.

5015343430305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 960178532769 + 4055164897536 = 979887^2 + 2013744^2 .

It is not a de Polignac number, because 5015343430305 - 28 = 5015343430049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5015343430305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32175055 + ... + 32330555.

It is an arithmetic number, because the mean of its divisors is an integer number (130773527703).

Almost surely, 25015343430305 is an apocalyptic number.

It is an amenable number.

5015343430305 is a deficient number, since it is larger than the sum of its proper divisors (4400350564311).

5015343430305 is a wasteful number, since it uses less digits than its factorization.

5015343430305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159779 (or 159763 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 5015343430305 in words is "five trillion, fifteen billion, three hundred forty-three million, four hundred thirty thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 4241 7605 12723 21205 38169 55133 63615 155501 165399 190845 275665 466503 496197 716729 777505 826995 1399509 2021513 2150187 2332515 2480985 3583645 6064539 6450561 6997545 10107565 10750935 18193617 26279669 30322695 32252805 78839007 90968085 131398345 236517021 394195035 659479741 1182585105 1978439223 3297398705 5935317669 8573236633 9892196115 25719709899 29676588345 42866183165 77159129697 111452076229 128598549495 334356228687 385795648485 557260381145 1003068686061 1671781143435 5015343430305