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132635405121642 = 2327368633617869
BaseRepresentation
bin11110001010000110010110…
…001101001111100001101010
3122101121211011102200201120200
4132022012112031033201222
5114341044302202343032
61150031510335533030
736636406661503533
oct3612062615174152
9571554142621520
10132635405121642
11392973a5436515
1212a6176898a176
1359016078b3277
1424a783313768a
1510502407ea47c
hex78a19634f86a

132635405121642 has 12 divisors (see below), whose sum is σ = 287376711096930. Its totient is φ = 44211801707208.

The previous prime is 132635405121641. The next prime is 132635405121649. The reversal of 132635405121642 is 246121504536231.

132635405121642 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 540 + 51 + 2 + 16 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67747402036161 + 64888003085481 = 8230881^2 + 8055309^2 .

It is not an unprimeable number, because it can be changed into a prime (132635405121641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3684316808917 + ... + 3684316808952.

Almost surely, 2132635405121642 is an apocalyptic number.

132635405121642 is an abundant number, since it is smaller than the sum of its proper divisors (154741305975288).

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

132635405121642 is a wasteful number, since it uses less digits than its factorization.

132635405121642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368633617877 (or 7368633617874 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 132635405121642 its reverse (246121504536231), we get a palindrome (378756909657873).

The spelling of 132635405121642 in words is "one hundred thirty-two trillion, six hundred thirty-five billion, four hundred five million, one hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 7368633617869 14737267235738 22105900853607 44211801707214 66317702560821 132635405121642