Search a number
-
+
45354554234025 = 3526173211354127
BaseRepresentation
bin10100100111111111011100…
…00110000001010010101001
312221120212000212101101200220
422103333232012001102221
521421042111340442100
6240243332232320253
712360521064055311
oct1223775606012251
9187525025341626
1045354554234025
11134a6838524353
125106024543089
131c3cbba91247a
14b2b25a4ba441
15539b991e4aa0
hex293fee1814a9

45354554234025 has 48 divisors (see below), whose sum is σ = 76225945060608. Its totient is φ = 23789285568000.

The previous prime is 45354554233993. The next prime is 45354554234027. The reversal of 45354554234025 is 52043245545354.

45354554234025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45354554234025 - 25 = 45354554233993 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45354554234027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32816512 + ... + 34170638.

It is an arithmetic number, because the mean of its divisors is an integer number (1588040522096).

Almost surely, 245354554234025 is an apocalyptic number.

It is an amenable number.

45354554234025 is a deficient number, since it is larger than the sum of its proper divisors (30871390826583).

45354554234025 is a wasteful number, since it uses less digits than its factorization.

45354554234025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361522 (or 1361517 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 51.

Adding to 45354554234025 its reverse (52043245545354), we get a palindrome (97397799779379).

The spelling of 45354554234025 in words is "forty-five trillion, three hundred fifty-four billion, five hundred fifty-four million, two hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 15 25 61 75 183 305 915 1525 4575 7321 21963 36605 109815 183025 446581 549075 1339743 1354127 2232905 4062381 6698715 6770635 11164525 20311905 33493575 33853175 82601747 101559525 247805241 413008735 1239026205 2065043675 6195131025 9913563767 29740691301 49567818835 148703456505 247839094175 604727389787 743517282525 1814182169361 3023636948935 9070910846805 15118184744675 45354554234025