Search a number
-
+
5190609357 = 34193547607
BaseRepresentation
bin1001101010110001…
…00110100111001101
3111101202001021110000
410311120212213031
541112243444412
62215020434513
7242425310613
oct46530464715
914352037400
105190609357
112223a666aa
12100a3a8a39
136494a87ab
1437351b6b3
15205a584dc
hex1356269cd

5190609357 has 40 divisors (see below), whose sum is σ = 7821161216. Its totient is φ = 3430522368.

The previous prime is 5190609329. The next prime is 5190609367. The reversal of 5190609357 is 7539060915.

5190609357 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 609 + 35 + 7 = 666.

It is not a de Polignac number, because 5190609357 - 28 = 5190609101 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190609367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8550948 + ... + 8551554.

Almost surely, 25190609357 is an apocalyptic number.

It is an amenable number.

5190609357 is a deficient number, since it is larger than the sum of its proper divisors (2630551859).

5190609357 is a wasteful number, since it uses less digits than its factorization.

5190609357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 5190609357 is about 72045.8836922693. The cubic root of 5190609357 is about 1731.4346922442.

The spelling of 5190609357 in words is "five billion, one hundred ninety million, six hundred nine thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 81 193 547 579 607 1641 1737 1821 4923 5211 5463 14769 15633 16389 44307 49167 105571 117151 316713 332029 351453 950139 996087 1054359 2850417 2988261 3163077 8551251 8964783 9489231 26894349 64081597 192244791 576734373 1730203119 5190609357