Search a number
-
+
54919141455025 = 52449233012
BaseRepresentation
bin11000111110010110110111…
…11010101111010010110001
321012110012220101122201021001
430133023123322233102301
524144243400203030100
6312445301050402001
714365530344041141
oct1437133372572261
9235405811581231
1054919141455025
1116554093680a71
1261ab845430301
132484b11841953
14d7c15a1aa921
1565388d823d6a
hex31f2dbeaf4b1

54919141455025 has 27 divisors (see below), whose sum is σ = 68272425332643. Its totient is φ = 43824181632000.

The previous prime is 54919141454929. The next prime is 54919141455029. The reversal of 54919141455025 is 52055414191945.

The square root of 54919141455025 is 7410745.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 44862226097329 + 10056915357696 = 6697927^2 + 3171264^2 .

It is not a de Polignac number, because 54919141455025 - 211 = 54919141452977 is a prime.

It is a super-2 number, since 2×549191414550252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54919141455029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16637120875 + ... + 16637124175.

Almost surely, 254919141455025 is an apocalyptic number.

54919141455025 is the 7410745-th square number.

54919141455025 is the 3705373-rd centered octagonal number.

It is an amenable number.

54919141455025 is a deficient number, since it is larger than the sum of its proper divisors (13353283877618).

54919141455025 is an frugal number, since it uses more digits than its factorization.

54919141455025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 55.

The spelling of 54919141455025 in words is "fifty-four trillion, nine hundred nineteen billion, one hundred forty-one million, four hundred fifty-five thousand, twenty-five".

Divisors: 1 5 25 449 2245 3301 11225 16505 82525 201601 1008005 1482149 5040025 7410745 10896601 37053725 54483005 272415025 665484901 3327424505 4892573849 16637122525 24462869245 122314346225 2196765658201 10983828291005 54919141455025