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42512469012 = 22321390838609
BaseRepresentation
bin100111100101111100…
…001100110000010100
311001201202201012001100
4213211330030300110
51144031143002022
631310245430100
73033333011226
oct474574146024
9131652635040
1042512469012
11170361a9212
1282a540b330
134016759310
1420b4146416
15118c3771ac
hex9e5f0cc14

42512469012 has 36 divisors (see below), whose sum is σ = 115728389140. Its totient is φ = 13080759552.

The previous prime is 42512468953. The next prime is 42512469019. The reversal of 42512469012 is 21096421524.

It is a happy number.

42512469012 is a `hidden beast` number, since 4 + 2 + 512 + 46 + 90 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4933095696 + 37579373316 = 70236^2 + 193854^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×425124690122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42512469019) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45418837 + ... + 45419772.

Almost surely, 242512469012 is an apocalyptic number.

It is an amenable number.

42512469012 is an abundant number, since it is smaller than the sum of its proper divisors (73215920128).

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

42512469012 is a wasteful number, since it uses less digits than its factorization.

42512469012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90838632 (or 90838627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42512469012 in words is "forty-two billion, five hundred twelve million, four hundred sixty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 90838609 181677218 272515827 363354436 545031654 817547481 1090063308 1180901917 1635094962 2361803834 3270189924 3542705751 4723607668 7085411502 10628117253 14170823004 21256234506 42512469012