Search a number
-
+
205454304002425 = 52411494492996117
BaseRepresentation
bin101110101101110000001110…
…110011101100000101111001
3222221110020110200212200222111
4232231300032303230011321
5203412130403311034200
62004544223153252321
761163404116346522
oct5655601663540571
9887406420780874
10205454304002425
115a511754476a55
121b0625068640a1
138a8434732239a
1438a4081749849
1518b45108240ba
hexbadc0ecec179

205454304002425 has 48 divisors (see below), whose sum is σ = 263313830430000. Its totient is φ = 158923580211200.

The previous prime is 205454304002419. The next prime is 205454304002473. The reversal of 205454304002425 is 524200403454502.

It can be written as a sum of positive squares in 24 ways, for example, as 203934165424704 + 1520138577721 = 14280552^2 + 1232939^2 .

It is not a de Polignac number, because 205454304002425 - 29 = 205454304001913 is a prime.

It is a super-2 number, since 2×2054543040024252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67075467 + ... + 70071583.

It is an arithmetic number, because the mean of its divisors is an integer number (5485704800625).

Almost surely, 2205454304002425 is an apocalyptic number.

205454304002425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205454304002425 is a deficient number, since it is larger than the sum of its proper divisors (57859526427575).

205454304002425 is a wasteful number, since it uses less digits than its factorization.

205454304002425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996766 (or 2996761 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 205454304002425 its reverse (524200403454502), we get a palindrome (729654707456927).

The spelling of 205454304002425 in words is "two hundred five trillion, four hundred fifty-four billion, three hundred four million, two thousand, four hundred twenty-five".

Divisors: 1 5 25 41 149 205 449 745 1025 2245 3725 6109 11225 18409 30545 66901 92045 152725 334505 460225 1672525 2742941 2996117 13714705 14980585 68573525 74902925 122840797 446421433 614203985 1345256533 2232107165 3071019925 6726282665 11160535825 18303278753 33631413325 55155517853 91516393765 200443223417 275777589265 457581968825 1002216117085 1378887946325 5011080585425 8218172160097 41090860800485 205454304002425