Search a number
-
+
10687504025745 = 345126972078357
BaseRepresentation
bin1001101110000110000011…
…1000011000100010010001
31101211201022112100101110000
42123201200320120202101
52400101002012310440
634421434354200213
72152101212215101
oct233414070304221
941751275311400
1010687504025745
1134505aa444268
121247387583069
135c6a9a788051
1428d3c69cb201
15138016e59730
hex9b860e18891

10687504025745 has 40 divisors (see below), whose sum is σ = 19159858655784. Its totient is φ = 5699550479616.

The previous prime is 10687504025533. The next prime is 10687504025837. The reversal of 10687504025745 is 54752040578601.

It is a happy number.

10687504025745 is a `hidden beast` number, since 1 + 0 + 6 + 87 + 504 + 0 + 2 + 57 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1325611427904 + 9361892597841 = 1151352^2 + 3059721^2 .

It is not a de Polignac number, because 10687504025745 - 220 = 10687502977169 is a prime.

It is a super-2 number, since 2×106875040257452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10687504025691 and 10687504025700.

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 39 ways as a sum of consecutive naturals, for example, 4103107 + ... + 6181463.

Almost surely, 210687504025745 is an apocalyptic number.

10687504025745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10687504025745 is a deficient number, since it is larger than the sum of its proper divisors (8472354630039).

10687504025745 is a wasteful number, since it uses less digits than its factorization.

10687504025745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091071 (or 2091062 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 10687504025745 in words is "ten trillion, six hundred eighty-seven billion, five hundred four million, twenty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 12697 38091 63485 114273 190455 342819 571365 1028457 1714095 2078357 5142285 6235071 10391785 18705213 31175355 56115639 93526065 168346917 280578195 841734585 26388898829 79166696487 131944494145 237500089461 395833482435 712500268383 1187500447305 2137500805149 3562501341915 10687504025745