Search a number
-
+
45282711728254 = 272111313723585753
BaseRepresentation
bin10100100101111001100111…
…11100100111000001111110
312221022222121001000222001211
422102330303330213001332
521413402443200301004
6240150331322155034
712352365544615600
oct1222746374470176
9187288531028054
1045282711728254
1113479321286440
1250b4114652a7a
131c361ab844820
14b279a2cc5170
15537d91e81504
hex292f33f2707e

45282711728254 has 96 divisors (see below), whose sum is σ = 93504872645856. Its totient is φ = 16166617850880.

The previous prime is 45282711728231. The next prime is 45282711728291.

It is a happy number.

45282711728254 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9872959 + ... + 13712794.

It is an arithmetic number, because the mean of its divisors is an integer number (974009090061).

Almost surely, 245282711728254 is an apocalyptic number.

45282711728254 is an abundant number, since it is smaller than the sum of its proper divisors (48222160917602).

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

45282711728254 is a wasteful number, since it uses less digits than its factorization.

45282711728254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23585930 (or 23585923 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 58.

The spelling of 45282711728254 in words is "forty-five trillion, two hundred eighty-two billion, seven hundred eleven million, seven hundred twenty-eight thousand, two hundred fifty-four".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 137 143 154 182 274 286 539 637 959 1001 1078 1274 1507 1781 1918 2002 3014 3562 6713 7007 10549 12467 13426 14014 19591 21098 24934 39182 73843 87269 137137 147686 174538 274274 959959 1919918 23585753 47171506 165100271 259443283 306614789 330200542 518886566 613229578 1155701897 1816102981 2146303523 2311403794 3231248161 3372762679 3632205962 4292607046 6462496322 6745525358 12712720867 15024124661 22618737127 23609338753 25425441734 30048249322 35543729771 42006226093 45237474254 47218677506 71087459542 84012452186 158331159889 165265371271 248806108397 294043582651 316662319778 330530742542 462068487023 497612216794 588087165302 924136974046 1741642758779 2058305078557 3234479409161 3483285517558 4116610157114 6468958818322 22641355864127 45282711728254