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45490448745 = 335735916651
BaseRepresentation
bin101010010111011100…
…010010100101101001
311100102022022020021000
4222113130102211221
51221131023324440
632521550105213
73200203302000
oct522734224551
9140368266230
1045490448745
1118324199495
1289967ab209
13439c7009c1
1422b7859c37
1512b3a1b730
hexa97712969

45490448745 has 128 divisors (see below), whose sum is σ = 95915520000. Its totient is φ = 20441937600.

The previous prime is 45490448741. The next prime is 45490448747. The reversal of 45490448745 is 54784409454.

45490448745 is a `hidden beast` number, since 45 + 4 + 90 + 448 + 74 + 5 = 666.

45490448745 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 45490448745 - 22 = 45490448741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45490448691 and 45490448700.

It is not an unprimeable number, because it can be changed into a prime (45490448741) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2723670 + ... + 2740320.

It is an arithmetic number, because the mean of its divisors is an integer number (749340000).

Almost surely, 245490448745 is an apocalyptic number.

45490448745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45490448745 is an abundant number, since it is smaller than the sum of its proper divisors (50425071255).

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

45490448745 is a wasteful number, since it uses less digits than its factorization.

45490448745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16745 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 45490448745 in words is "forty-five billion, four hundred ninety million, four hundred forty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 59 63 105 135 147 177 189 245 295 315 343 413 441 531 735 885 945 1029 1239 1323 1593 1715 2065 2205 2655 2891 3087 3717 5145 6195 6615 7965 8673 9261 11151 14455 15435 16651 18585 20237 26019 43365 46305 49953 55755 60711 78057 83255 101185 116557 130095 149859 182133 249765 303555 349671 390285 449577 546399 582785 749295 815899 910665 982409 1049013 1748355 2247885 2447697 2731995 2947227 3147039 4079495 4912045 5245065 5711293 6876863 7343091 8841681 12238485 14736135 15735195 17133879 20630589 22029273 26525043 28556465 34384315 36715455 44208405 48138041 51401637 61891767 85669395 103152945 110146365 132625215 144414123 154204911 185675301 240690205 257008185 309458835 336966287 433242369 722070615 771024555 928376505 1010898861 1299727107 1684831435 2166211845 3032696583 5054494305 6498635535 9098089749 15163482915 45490448745