Search a number
-
+
13506553725 = 352731781157
BaseRepresentation
bin11001001010000110…
…11010011101111101
31021212021222000112120
430211003122131331
5210130134204400
610112124153153
7655463545440
oct144503323575
937767860476
1013506553725
1158011087a5
12274b3987b9
13137330cb32
14921b49657
15540b61ca0
hex3250da77d

13506553725 has 48 divisors (see below), whose sum is σ = 25601778048. Its totient is φ = 6154871040.

The previous prime is 13506553717. The next prime is 13506553747. The reversal of 13506553725 is 52735560531.

It is a happy number.

It is not a de Polignac number, because 13506553725 - 23 = 13506553717 is a prime.

It is a super-2 number, since 2×135065537252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125847 + ... + 207003.

It is an arithmetic number, because the mean of its divisors is an integer number (533370376).

Almost surely, 213506553725 is an apocalyptic number.

13506553725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13506553725 is a deficient number, since it is larger than the sum of its proper divisors (12095224323).

13506553725 is a wasteful number, since it uses less digits than its factorization.

13506553725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81494 (or 81489 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 42.

The spelling of 13506553725 in words is "thirteen billion, five hundred six million, five hundred fifty-three thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 317 525 951 1585 2219 4755 6657 7925 11095 23775 33285 55475 81157 166425 243471 405785 568099 1217355 1704297 2028925 2840495 6086775 8521485 14202475 25726769 42607425 77180307 128633845 180087383 385901535 540262149 643169225 900436915 1929507675 2701310745 4502184575 13506553725