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45342312225 = 3527532117723
BaseRepresentation
bin101010001110100111…
…001100011100100001
311100000222120010011020
4222032213030130201
51220330112442400
632455135040053
73163424203050
oct521647143441
9140028503136
1045342312225
111825860a311
128955070029
134377b05062
1422a1cd8397
1512a5a092a0
hexa8e9cc721

45342312225 has 96 divisors (see below), whose sum is σ = 87716957184. Its totient is φ = 20237817600.

The previous prime is 45342312193. The next prime is 45342312233. The reversal of 45342312225 is 52221324354.

It is not a de Polignac number, because 45342312225 - 25 = 45342312193 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5867214 + ... + 5874936.

It is an arithmetic number, because the mean of its divisors is an integer number (913718304).

Almost surely, 245342312225 is an apocalyptic number.

It is an amenable number.

45342312225 is a deficient number, since it is larger than the sum of its proper divisors (42374644959).

45342312225 is a wasteful number, since it uses less digits than its factorization.

45342312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8002 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

Adding to 45342312225 its reverse (52221324354), we get a palindrome (97563636579).

The spelling of 45342312225 in words is "forty-five billion, three hundred forty-two million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 53 75 105 159 175 211 265 371 525 633 795 1055 1113 1325 1477 1855 3165 3975 4431 5275 5565 7385 7723 9275 11183 15825 22155 23169 27825 33549 36925 38615 54061 55915 78281 110775 115845 162183 167745 193075 234843 270305 279575 391405 409319 579225 810915 838725 1174215 1227957 1351525 1629553 1957025 2046595 2865233 4054575 4888659 5871075 6139785 8147765 8595699 10232975 11406871 14326165 24443295 30698925 34220613 40738825 42978495 57034355 71630825 86366309 122216475 171103065 214892475 259098927 285171775 431831545 604564163 855515325 1295494635 1813692489 2159157725 3022820815 6477473175 9068462445 15114104075 45342312225