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12677335632 = 2432136772081
BaseRepresentation
bin10111100111010000…
…01100101001010000
31012201111122101011100
423303220030221100
5201430344220012
65453543144400
7626104401123
oct136350145120
935644571140
1012677335632
115416030995
122559745100
131270599b40
148839763ba
154e2e678dc
hex2f3a0ca50

12677335632 has 60 divisors (see below), whose sum is σ = 38208086644. Its totient is φ = 3900718080.

The previous prime is 12677335603. The next prime is 12677335673. The reversal of 12677335632 is 23653377621.

12677335632 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 3 + 3 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1994872896 + 10682462736 = 44664^2 + 103356^2 .

It is a congruent number.

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, 3384169 + ... + 3387912.

Almost surely, 212677335632 is an apocalyptic number.

12677335632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12677335632 is an abundant number, since it is smaller than the sum of its proper divisors (25530751012).

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

12677335632 is a wasteful number, since it uses less digits than its factorization.

12677335632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772108 (or 6772099 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The spelling of 12677335632 in words is "twelve billion, six hundred seventy-seven million, three hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 6772081 13544162 20316243 27088324 40632486 54176648 60948729 81264972 88037053 108353296 121897458 162529944 176074106 243794916 264111159 325059888 352148212 487589832 528222318 704296424 792333477 975179664 1056444636 1408592848 1584666954 2112889272 3169333908 4225778544 6338667816 12677335632