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5782081045 = 513192292293
BaseRepresentation
bin1010110001010001…
…11000111000010101
3112220222000011001211
411120220320320111
543320203043140
62353430021421
7263166610066
oct53050707025
915828004054
105782081045
1124a791a084
1211544a7871
13711ba9640
143cbcc456d
1523c93e2ea
hex158a38e15

5782081045 has 72 divisors (see below), whose sum is σ = 8195392296. Its totient is φ = 3892299264.

The previous prime is 5782081003. The next prime is 5782081061. The reversal of 5782081045 is 5401802875.

5782081045 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 713637796 + 5068443249 = 26714^2 + 71193^2 .

It is not a de Polignac number, because 5782081045 - 213 = 5782072853 is a prime.

It is a super-2 number, since 2×57820810452 = 66864922421896584050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5782080989 and 5782081007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19733919 + ... + 19734211.

It is an arithmetic number, because the mean of its divisors is an integer number (113824893).

Almost surely, 25782081045 is an apocalyptic number.

It is an amenable number.

5782081045 is a deficient number, since it is larger than the sum of its proper divisors (2413311251).

5782081045 is a wasteful number, since it uses less digits than its factorization.

5782081045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 5782081045 is about 76039.9963506049. The cubic root of 5782081045 is about 1794.8495819828.

The spelling of 5782081045 in words is "five billion, seven hundred eighty-two million, eighty-one thousand, forty-five".

Divisors: 1 5 13 19 29 65 95 145 247 293 361 377 551 841 1235 1465 1805 1885 2755 3809 4205 4693 5567 7163 8497 10469 10933 15979 19045 23465 27835 35815 42485 52345 54665 72371 79895 105773 110461 136097 161443 207727 246413 303601 361855 528865 552305 680485 807215 1038635 1232065 1375049 1518005 2098759 3067417 3203369 3946813 4681847 6875245 10493795 15337085 16016845 19734065 23409235 39876421 60864011 88955093 199382105 304320055 444775465 1156416209 5782081045