Search a number
-
+
42882607035405 = 3351034831638371
BaseRepresentation
bin10011100000000011000101…
…00011110011010000001101
312121211112111121121210112000
421300001202203303100031
521110042034400113110
6231111555301102513
712014110656420534
oct1160014243632015
9177745447553460
1042882607035405
11127334587a6a45
124986b2a3b7a39
131ac0a740775b7
14a8375a3bd31b
154e571d2ca1c0
hex2700628f340d

42882607035405 has 64 divisors (see below), whose sum is σ = 76991953059840. Its totient is φ = 22643954222400.

The previous prime is 42882607035403. The next prime is 42882607035409. The reversal of 42882607035405 is 50453070628824.

42882607035405 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 26 + 0 + 70 + 3 + 540 + 5 = 666.

It is not a de Polignac number, because 42882607035405 - 21 = 42882607035403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882607035403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66855870 + ... + 67494240.

It is an arithmetic number, because the mean of its divisors is an integer number (1202999266560).

Almost surely, 242882607035405 is an apocalyptic number.

42882607035405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42882607035405 is a deficient number, since it is larger than the sum of its proper divisors (34109346024435).

42882607035405 is a wasteful number, since it uses less digits than its factorization.

42882607035405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643319 (or 643313 counting only the distinct ones).

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

The spelling of 42882607035405 in words is "forty-two trillion, eight hundred eighty-two billion, six hundred seven million, thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 103 135 309 515 927 1545 2781 4635 4831 13905 14493 24155 43479 72465 130437 217395 497593 638371 652185 1492779 1915113 2487965 3191855 4478337 5745339 7463895 9575565 13435011 17236017 22391685 28726695 65752213 67175055 86180085 197256639 328761065 591769917 986283195 1775309751 2958849585 3083970301 8876548755 9251910903 15419851505 27755732709 46259554515 83267198127 138778663545 317648941003 416335990635 952946823009 1588244705015 2858840469027 4764734115045 8576521407081 14294202345135 42882607035405