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85378581603145 = 5232411117704833
BaseRepresentation
bin10011011010011011000000…
…000001110010001101001001
3102012022010001011001020002101
4103122123000001302031021
542142320313342300040
6501330213502433401
723661253562323015
oct2332330001621511
9365263034036071
1085378581603145
1125227942555476
1296aab36292861
1338842200698bc
1417124b9ab7545
159d0d5d50c09a
hex4da6c0072349

85378581603145 has 48 divisors (see below), whose sum is σ = 109813142838672. Its totient is φ = 63682529771520.

The previous prime is 85378581603131. The next prime is 85378581603167. The reversal of 85378581603145 is 54130618587358.

It can be written as a sum of positive squares in 8 ways, for example, as 47198590035129 + 38179991568016 = 6870123^2 + 6178996^2 .

It is not a de Polignac number, because 85378581603145 - 27 = 85378581603017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120780649 + ... + 121485481.

It is an arithmetic number, because the mean of its divisors is an integer number (2287773809139).

Almost surely, 285378581603145 is an apocalyptic number.

It is an amenable number.

85378581603145 is a deficient number, since it is larger than the sum of its proper divisors (24434561235527).

85378581603145 is a wasteful number, since it uses less digits than its factorization.

85378581603145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706042 (or 706019 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 64.

The spelling of 85378581603145 in words is "eighty-five trillion, three hundred seventy-eight billion, five hundred eighty-one million, six hundred three thousand, one hundred forty-five".

Divisors: 1 5 23 41 115 205 529 943 1117 2645 4715 5585 21689 25691 45797 108445 128455 228985 590893 704833 1053331 2954465 3524165 5266655 16211159 24226613 28898153 81055795 121133065 144490765 372856657 664657519 787298461 1864283285 3323287595 3936492305 15287122937 18107864603 32279236901 76435614685 90539323015 161396184505 416480885869 742422448723 2082404429345 3712112243615 17075716320629 85378581603145