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5785648245 = 325132760769
BaseRepresentation
bin1010110001101100…
…11111110001110101
3112221012201101100100
411120312133301311
543322111220440
62354034304313
7263242125066
oct53066376165
915835641310
105785648245
1124a9936183
121155728099
13712858200
143cc57256d
1523cde6230
hex158d9fc75

5785648245 has 36 divisors (see below), whose sum is σ = 10859230980. Its totient is φ = 2848315392.

The previous prime is 5785648243. The next prime is 5785648247. The reversal of 5785648245 is 5428465875.

5785648245 is a `hidden beast` number, since 5 + 78 + 56 + 482 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (5785648243) and next prime (5785648247).

It can be written as a sum of positive squares in 6 ways, for example, as 223024356 + 5562623889 = 14934^2 + 74583^2 .

It is not a de Polignac number, because 5785648245 - 21 = 5785648243 is a prime.

It is a super-2 number, since 2×57856482452 = 66947451229743160050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5785648191 and 5785648200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785648243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372780 + ... + 387989.

It is an arithmetic number, because the mean of its divisors is an integer number (301645305).

Almost surely, 25785648245 is an apocalyptic number.

It is an amenable number.

5785648245 is a deficient number, since it is larger than the sum of its proper divisors (5073582735).

5785648245 is a wasteful number, since it uses less digits than its factorization.

5785648245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760806 (or 760790 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The square root of 5785648245 is about 76063.4488108448. The cubic root of 5785648245 is about 1795.2186112394.

The spelling of 5785648245 in words is "five billion, seven hundred eighty-five million, six hundred forty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 760769 2282307 3803845 6846921 9889997 11411535 29669991 34234605 49449985 89009973 128569961 148349955 385709883 445049865 642849805 1157129649 1928549415 5785648245