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45123320025 = 355271061101
BaseRepresentation
bin101010000001100011…
…110011100011011001
311022110201111011100000
4222001203303203121
51214403032220100
632421313203213
73155124614610
oct520143634331
9138421434300
1045123320025
1118155a35223
1288b3860509
13434162b284
142280bb0877
15129169c900
hexa818f38d9

45123320025 has 72 divisors (see below), whose sum is σ = 95787799744. Its totient is φ = 20627784000.

The previous prime is 45123320009. The next prime is 45123320029. The reversal of 45123320025 is 52002332154.

It is a happy number.

45123320025 is a `hidden beast` number, since 451 + 2 + 3 + 3 + 200 + 2 + 5 = 666.

It is not a de Polignac number, because 45123320025 - 24 = 45123320009 is a prime.

It is a super-2 number, since 2×451233200252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45123320029) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 488026 + ... + 573075.

Almost surely, 245123320025 is an apocalyptic number.

45123320025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45123320025 is an abundant number, since it is smaller than the sum of its proper divisors (50664479719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45123320025 is a wasteful number, since it uses less digits than its factorization.

45123320025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061133 (or 1061116 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 45123320025 its reverse (52002332154), we get a palindrome (97125652179).

The spelling of 45123320025 in words is "forty-five billion, one hundred twenty-three million, three hundred twenty thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2835 4725 6075 8505 14175 42525 1061101 3183303 5305505 7427707 9549909 15916515 22283121 26527525 28649727 37138535 47749545 66849363 79582575 85949181 111415605 143248635 185692675 200548089 238747725 257847543 334246815 429745905 557078025 601644267 716243175 1002740445 1289237715 1671234075 1804932801 2148729525 3008221335 5013702225 6446188575 9024664005 15041106675 45123320025