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5642955510705 = 3254611913142193
BaseRepresentation
bin101001000011101101001…
…0110111101001110110001
3201222110110021100012220100
41102013122112331032301
51214423233102320310
620000201000303013
71121455461300222
oct122073226751661
921873407305810
105642955510705
111886189302027
12771786471a69
1331c1891ac516
1415719893d249
159bbbd77cec0
hex521da5bd3b1

5642955510705 has 48 divisors (see below), whose sum is σ = 9807533111376. Its totient is φ = 3001456988160.

The previous prime is 5642955510679. The next prime is 5642955510743. The reversal of 5642955510705 is 5070155592465.

5642955510705 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 9 + 55 + 510 + 70 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 927808179984 + 4715147330721 = 963228^2 + 2171439^2 .

It is not a de Polignac number, because 5642955510705 - 220 = 5642954462129 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 39614089 + ... + 39756281.

It is an arithmetic number, because the mean of its divisors is an integer number (204323606487).

Almost surely, 25642955510705 is an apocalyptic number.

It is an amenable number.

5642955510705 is a deficient number, since it is larger than the sum of its proper divisors (4164577600671).

5642955510705 is a wasteful number, since it uses less digits than its factorization.

5642955510705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144578 (or 144575 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 54.

The spelling of 5642955510705 in words is "five trillion, six hundred forty-two billion, nine hundred fifty-five million, five hundred ten thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 461 1383 1913 2305 4149 5739 6915 9565 17217 20745 28695 86085 142193 426579 710965 881893 1279737 2132895 2645679 4409465 6398685 7937037 13228395 39685185 65550973 196652919 272015209 327754865 589958757 816045627 983264595 1360076045 2448136881 2949793785 4080228135 12240684405 125399011349 376197034047 626995056745 1128591102141 1880985170235 5642955510705