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45263323700 = 22527261151433
BaseRepresentation
bin101010001001111001…
…111000001000110100
311022211110221002021022
4222021321320020310
51220144402324300
632443234040312
73161444621600
oct521171701064
9138743832238
1045263323700
1118217a6a041
128932719098
13436463a19a
142295616500
15129db05285
hexa89e78234

45263323700 has 108 divisors (see below), whose sum is σ = 116131403052. Its totient is φ = 15264345600.

The previous prime is 45263323687. The next prime is 45263323709. The reversal of 45263323700 is 732336254.

It can be written as a sum of positive squares in 6 ways, for example, as 14432177956 + 30831145744 = 120134^2 + 175588^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263323709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223184 + ... + 374616.

It is an arithmetic number, because the mean of its divisors is an integer number (1075290769).

Almost surely, 245263323700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45263323700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58065701526).

45263323700 is an abundant number, since it is smaller than the sum of its proper divisors (70868079352).

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

45263323700 is a wasteful number, since it uses less digits than its factorization.

45263323700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151522 (or 151508 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 35.

Adding to 45263323700 its reverse (732336254), we get a palindrome (45995659954).

The spelling of 45263323700 in words is "forty-five billion, two hundred sixty-three million, three hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 61 70 98 100 122 140 175 196 244 245 305 350 427 490 610 700 854 980 1220 1225 1525 1708 2135 2450 2989 3050 4270 4900 5978 6100 8540 10675 11956 14945 21350 29890 42700 59780 74725 149450 151433 298900 302866 605732 757165 1060031 1514330 2120062 3028660 3785825 4240124 5300155 7420217 7571650 9237413 10600310 14840434 15143300 18474826 21200620 26500775 29680868 36949652 37101085 46187065 53001550 64661891 74202170 92374130 106003100 129323782 148404340 184748260 185505425 230935325 258647564 323309455 371010850 452633237 461870650 646618910 742021700 905266474 923741300 1293237820 1616547275 1810532948 2263166185 3233094550 4526332370 6466189100 9052664740 11315830925 22631661850 45263323700