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12439062108 = 2235113137529
BaseRepresentation
bin10111001010110110…
…10000011001011100
31012002220021211100000
423211123100121130
5200433344441413
65414152134300
7620152166124
oct134533203134
935086254300
1012439062108
115303587520
1224b1997390
131233101aa5
1486006dc84
154cc09d073
hex2e56d065c

12439062108 has 144 divisors (see below), whose sum is σ = 36720552960. Its totient is φ = 3647721600.

The previous prime is 12439062049. The next prime is 12439062109. The reversal of 12439062108 is 80126093421.

12439062108 is a `hidden beast` number, since 1 + 2 + 439 + 0 + 6 + 210 + 8 = 666.

12439062108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124390621082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12439062109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312688 + ... + 350216.

It is an arithmetic number, because the mean of its divisors is an integer number (255003840).

Almost surely, 212439062108 is an apocalyptic number.

12439062108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12439062108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360276480).

12439062108 is an abundant number, since it is smaller than the sum of its proper divisors (24281490852).

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

12439062108 is a wasteful number, since it uses less digits than its factorization.

12439062108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37590 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12439062108 in words is "twelve billion, four hundred thirty-nine million, sixty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 243 279 297 324 341 372 396 486 558 594 682 837 891 972 1023 1116 1188 1364 1674 1782 2046 2511 2673 3069 3348 3564 4092 5022 5346 6138 7533 9207 10044 10692 12276 15066 18414 27621 30132 36828 37529 55242 75058 82863 110484 112587 150116 165726 225174 331452 337761 412819 450348 675522 825638 1013283 1163399 1238457 1351044 1651276 2026566 2326798 2476914 3039849 3490197 3715371 4053132 4653596 4953828 6079698 6980394 7430742 9119547 10470591 11146113 12159396 12797389 13960788 14861484 18239094 20941182 22292226 25594778 31411773 33438339 36478188 38392167 41882364 44584452 51189556 62823546 66876678 76784334 94235319 100315017 115176501 125647092 133753356 153568668 188470638 200630034 230353002 282705957 345529503 376941276 401260068 460706004 565411914 691059006 1036588509 1130823828 1382118012 2073177018 3109765527 4146354036 6219531054 12439062108