Search a number
-
+
42512212782 = 232131731050151
BaseRepresentation
bin100111100101111011…
…001110001100101110
311001201202020011120100
4213211323032030232
51144031111302112
631310240131530
73033330563214
oct474573161456
9131652204510
1042512212782
1117036043756
1282a5306ba6
1340166997c0
1420b40bacb4
15118c3262dc
hex9e5ece32e

42512212782 has 48 divisors (see below), whose sum is σ = 99768640608. Its totient is φ = 13005057600.

The previous prime is 42512212753. The next prime is 42512212801. The reversal of 42512212782 is 28721221524.

It is a happy number.

42512212782 is a `hidden beast` number, since 42 + 512 + 2 + 1 + 27 + 82 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484594 + ... + 565557.

It is an arithmetic number, because the mean of its divisors is an integer number (2078513346).

Almost surely, 242512212782 is an apocalyptic number.

42512212782 is an abundant number, since it is smaller than the sum of its proper divisors (57256427826).

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

42512212782 is a wasteful number, since it uses less digits than its factorization.

42512212782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050345 (or 1050342 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The spelling of 42512212782 in words is "forty-two billion, five hundred twelve million, two hundred twelve thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1038 1557 2249 3114 4498 6747 13494 20241 40482 1050151 2100302 3150453 6300906 9451359 13651963 18902718 27303926 40955889 81911778 122867667 181676123 245735334 363352246 545028369 1090056738 1635085107 2361789599 3270170214 4723579198 7085368797 14170737594 21256106391 42512212782