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12645214128 = 243337791117
BaseRepresentation
bin10111100011011011…
…01010011110110000
31012122021012102202000
423301231222132300
5201344133323003
65450434454000
7625234355331
oct136155523660
935567172660
1012645214128
1153a9991598
12254aa34300
131266a31331
1487d5b4288
154e02201a3
hex2f1b6a7b0

12645214128 has 80 divisors (see below), whose sum is σ = 37277480160. Its totient is φ = 4101145344.

The previous prime is 12645214069. The next prime is 12645214133. The reversal of 12645214128 is 82141254621.

12645214128 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 521 + 4 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12645214092 and 12645214101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379575 + ... + 411542.

It is an arithmetic number, because the mean of its divisors is an integer number (465968502).

Almost surely, 212645214128 is an apocalyptic number.

12645214128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12645214128 is an abundant number, since it is smaller than the sum of its proper divisors (24632266032).

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

12645214128 is a wasteful number, since it uses less digits than its factorization.

12645214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791171 (or 791159 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 12645214128 its reverse (82141254621), we get a palindrome (94786468749).

The spelling of 12645214128 in words is "twelve billion, six hundred forty-five million, two hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 791117 1582234 2373351 3164468 4746702 6328936 7120053 9493404 12657872 14240106 18986808 21360159 28480212 29271329 37973616 42720318 56960424 58542658 85440636 87813987 113920848 117085316 170881272 175627974 234170632 263441961 341762544 351255948 468341264 526883922 702511896 790325883 1053767844 1405023792 1580651766 2107535688 3161303532 4215071376 6322607064 12645214128