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5285785005 = 345101129221
BaseRepresentation
bin1001110110000111…
…01010110110101101
3111122101010200220000
410323003222312231
541311130110010
62232300414513
7244662300624
oct47303526655
914571120800
105285785005
112272762566
121036247439
13663120447
143820146bb
1520e0a87c0
hex13b0eadad

5285785005 has 40 divisors (see below), whose sum is σ = 9569147544. Its totient is φ = 2791152000.

The previous prime is 5285784967. The next prime is 5285785007. The reversal of 5285785005 is 5005875825.

5285785005 is a `hidden beast` number, since 5 + 28 + 578 + 50 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1210622436 + 4075162569 = 34794^2 + 63837^2 .

It is not a de Polignac number, because 5285785005 - 27 = 5285784877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285785007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23706 + ... + 105515.

Almost surely, 25285785005 is an apocalyptic number.

It is an amenable number.

5285785005 is a deficient number, since it is larger than the sum of its proper divisors (4283362539).

5285785005 is a wasteful number, since it uses less digits than its factorization.

5285785005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129339 (or 129330 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 5285785005 is about 72703.4043563298. The cubic root of 5285785005 is about 1741.9532613344.

The spelling of 5285785005 in words is "five billion, two hundred eighty-five million, seven hundred eighty-five thousand, five".

Divisors: 1 3 5 9 15 27 45 81 101 135 303 405 505 909 1515 2727 4545 8181 13635 40905 129221 387663 646105 1162989 1938315 3488967 5814945 10466901 13051321 17444835 39153963 52334505 65256605 117461889 195769815 352385667 587309445 1057157001 1761928335 5285785005