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45243034254 = 23211237355691
BaseRepresentation
bin101010001000101100…
…011110101010001110
311022210001202021101100
4222020230132222032
51220124204044004
632441231123530
73161110305645
oct521054365216
9138701667340
1045243034254
1118207571300
1289279735a6
1343603850b2
142292a5435c
15129be48739
hexa88b1ea8e

45243034254 has 72 divisors (see below), whose sum is σ = 108039027096. Its totient is φ = 13673008800.

The previous prime is 45243034247. The next prime is 45243034283.

45243034254 is nontrivially palindromic in base 10.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 784549 + ... + 840239.

It is an arithmetic number, because the mean of its divisors is an integer number (1500542043).

Almost surely, 245243034254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45243034254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54019513548).

45243034254 is an abundant number, since it is smaller than the sum of its proper divisors (62795992842).

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

45243034254 is a wasteful number, since it uses less digits than its factorization.

45243034254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56094 (or 56080 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 452430 and 34254, that added together give a palindrome (486684).

The spelling of 45243034254 in words is "forty-five billion, two hundred forty-three million, thirty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 373 726 746 1089 1119 2178 2238 3357 4103 6714 8206 12309 24618 36927 45133 55691 73854 90266 111382 135399 167073 270798 334146 406197 501219 612601 812394 1002438 1225202 1837803 3675606 5513409 6738611 11026818 13477222 20215833 20772743 40431666 41545486 60647499 62318229 121294998 124636458 186954687 228500173 373909374 457000346 685500519 1371001038 2056501557 2513501903 4113003114 5027003806 7540505709 15081011418 22621517127 45243034254