Search a number
-
+
5180690925 = 3252172335813
BaseRepresentation
bin1001101001100101…
…10001000111101101
3111101001101100220200
410310302301013231
541102224102200
62214024104113
7242245101114
oct46462610755
914331340820
105180690925
112219401853
121007005039
136474150b7
14372098c7b
15204c49800
hex134cb11ed

5180690925 has 72 divisors (see below), whose sum is σ = 9868892904. Its totient is φ = 2588897280.

The previous prime is 5180690873. The next prime is 5180690947. The reversal of 5180690925 is 5290960815.

It can be written as a sum of positive squares in 12 ways, for example, as 963357444 + 4217333481 = 31038^2 + 64941^2 .

It is not a de Polignac number, because 5180690925 - 213 = 5180682733 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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 888319 + ... + 894131.

It is an arithmetic number, because the mean of its divisors is an integer number (137067957).

Almost surely, 25180690925 is an apocalyptic number.

It is an amenable number.

5180690925 is a deficient number, since it is larger than the sum of its proper divisors (4688201979).

5180690925 is a wasteful number, since it uses less digits than its factorization.

5180690925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5180690925 is about 71977.0166442039. The cubic root of 5180690925 is about 1730.3311566044.

The spelling of 5180690925 in words is "five billion, one hundred eighty million, six hundred ninety thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 233 255 425 699 765 1165 1275 2097 3495 3825 3961 5813 5825 10485 11883 17439 17475 19805 29065 35649 52317 52425 59415 87195 98821 99025 145325 178245 261585 296463 297075 435975 494105 889389 891225 1307925 1354429 1482315 2470525 4063287 4446945 6772145 7411575 12189861 20316435 22234725 23025293 33860725 60949305 69075879 101582175 115126465 207227637 304746525 345379395 575632325 1036138185 1726896975 5180690925