Search a number
-
+
25640455110255 = 3353314311331333
BaseRepresentation
bin1011101010001111000100…
…01101111111111001101111
310100210012111101212012222000
411311013202031333321233
511330043123002012010
6130311021254223343
75254314244264656
oct565074215777157
9110705441765860
1025640455110255
118196068512207
122a61360654b53
13113cb6645375b
1464900ca8419d
152e6e78d597c0
hex1751e237fe6f

25640455110255 has 64 divisors (see below), whose sum is σ = 45826859427840. Its totient is φ = 13601952777600.

The previous prime is 25640455110233. The next prime is 25640455110311. The reversal of 25640455110255 is 55201155404652.

It is a happy number.

25640455110255 is a `hidden beast` number, since 2 + 5 + 6 + 40 + 4 + 551 + 1 + 0 + 2 + 55 = 666.

It is not a de Polignac number, because 25640455110255 - 212 = 25640455106159 is a prime.

It is a super-4 number, since 4×256404551102554 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 25640455110255.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18593569 + ... + 19924901.

It is an arithmetic number, because the mean of its divisors is an integer number (716044678560).

Almost surely, 225640455110255 is an apocalyptic number.

25640455110255 is a deficient number, since it is larger than the sum of its proper divisors (20186404317585).

25640455110255 is a wasteful number, since it uses less digits than its factorization.

25640455110255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332109 (or 1332103 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 25640455110255 in words is "twenty-five trillion, six hundred forty billion, four hundred fifty-five million, one hundred ten thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 331 431 993 1293 1655 2155 2979 3879 4965 6465 8937 11637 14895 19395 44685 58185 142661 427983 713305 1283949 1331333 2139915 3851847 3993999 6419745 6656665 11981997 19259235 19969995 35945991 59909985 179729955 440671223 573804523 1322013669 1721413569 2203356115 2869022615 3966041007 5164240707 6610068345 8607067845 11898123021 15492722121 19830205035 25821203535 59490615105 77463610605 189929297113 569787891339 949646485565 1709363674017 2848939456695 5128091022051 8546818370085 25640455110255