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12642420132 = 22321553226129
BaseRepresentation
bin10111100011000110…
…00000010110100100
31012122001221111002200
423301203000112210
5201342424421012
65450254534500
7625201540506
oct136143002644
935561844080
1012642420132
1153a8353401
122549b07430
131266293694
1487d087d76
154ded6c3dc
hex2f18c05a4

12642420132 has 36 divisors (see below), whose sum is σ = 31977947820. Its totient is φ = 4211407872.

The previous prime is 12642420121. The next prime is 12642420149. The reversal of 12642420132 is 23102424621.

12642420132 is a `hidden beast` number, since 1 + 2 + 6 + 424 + 201 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2486617956 + 10155802176 = 49866^2 + 100776^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12642420096 and 12642420105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57157 + ... + 168972.

Almost surely, 212642420132 is an apocalyptic number.

12642420132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12642420132 is an abundant number, since it is smaller than the sum of its proper divisors (19335527688).

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

12642420132 is a wasteful number, since it uses less digits than its factorization.

12642420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227692 (or 227687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12642420132 its reverse (23102424621), we get a palindrome (35744844753).

The spelling of 12642420132 in words is "twelve billion, six hundred forty-two million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1553 3106 4659 6212 9318 13977 18636 27954 55908 226129 452258 678387 904516 1356774 2035161 2713548 4070322 8140644 351178337 702356674 1053535011 1404713348 2107070022 3160605033 4214140044 6321210066 12642420132