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12647701444 = 22722922772
BaseRepresentation
bin10111100011101110…
…01001101111000100
31012122102212210200211
423301313021233010
5201400302421234
65451004045204
7625264455100
oct136167115704
935572783624
1012647701444
115400330324
12254b833804
1312673c2511
1487da60900
154e0562164
hex2f1dc9bc4

12647701444 has 81 divisors (see below), whose sum is σ = 26762165703. Its totient is φ = 5214638016.

The previous prime is 12647701441. The next prime is 12647701459. The reversal of 12647701444 is 44410774621.

The square root of 12647701444 is 112462.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1350562500 + 11297138944 = 36750^2 + 106288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12647701397 and 12647701406.

It is not an unprimeable number, because it can be changed into a prime (12647701441) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 45659434 + ... + 45659710.

Almost surely, 212647701444 is an apocalyptic number.

12647701444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12647701444 is the 112462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12647701444

12647701444 is an abundant number, since it is smaller than the sum of its proper divisors (14114464259).

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

12647701444 is an equidigital number, since it uses as much as digits as its factorization.

12647701444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 12647701444 in words is "twelve billion, six hundred forty-seven million, seven hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 277 406 554 812 841 1108 1421 1682 1939 2842 3364 3878 5684 5887 7756 8033 11774 13573 16066 23548 27146 32132 41209 54292 56231 76729 82418 112462 153458 164836 224924 232957 306916 393617 465914 537103 787234 931828 1074206 1574468 1630699 2148412 2225141 3261398 3759721 4450282 6522796 7519442 8900564 11414893 15038884 15575987 22829786 31151974 45659572 62303948 64529089 109031909 129058178 218063818 258116356 436127636 451703623 903407246 1806814492 3161925361 6323850722 12647701444