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5210485785 = 34538933073
BaseRepresentation
bin1001101101001000…
…11011010000011001
3111110010110002210000
410312210123100121
541132341021120
62221010443213
7243056253441
oct46644332031
914403402700
105210485785
1122342020aa
121014b93509
136506478ab
14376013121
15207682990
hex13691b419

5210485785 has 40 divisors (see below), whose sum is σ = 9364572360. Its totient is φ = 2771698176.

The previous prime is 5210485781. The next prime is 5210485789. The reversal of 5210485785 is 5875840125.

5210485785 is a `hidden beast` number, since 521 + 0 + 48 + 5 + 7 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (5210485781) and next prime (5210485789).

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 5064172569 = 12096^2 + 71163^2 .

It is not a de Polignac number, because 5210485785 - 22 = 5210485781 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5210485785.

It is not an unprimeable number, because it can be changed into a prime (5210485781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141009 + ... + 174081.

It is an arithmetic number, because the mean of its divisors is an integer number (234114309).

Almost surely, 25210485785 is an apocalyptic number.

It is an amenable number.

5210485785 is a deficient number, since it is larger than the sum of its proper divisors (4154086575).

5210485785 is a wasteful number, since it uses less digits than its factorization.

5210485785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33479 (or 33470 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 5210485785 is about 72183.6947308740. The cubic root of 5210485785 is about 1733.6419412503.

The spelling of 5210485785 in words is "five billion, two hundred ten million, four hundred eighty-five thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 389 405 1167 1945 3501 5835 10503 17505 31509 33073 52515 99219 157545 165365 297657 496095 892971 1488285 2678913 4464855 12865397 13394565 38596191 64326985 115788573 192980955 347365719 578942865 1042097157 1736828595 5210485785