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12445686450 = 2345217532
BaseRepresentation
bin10111001011101001…
…00001101010110010
31012010100202101020000
423211310201222302
5200442043431300
65414550130430
7620262406101
oct134564415262
935110671200
1012445686450
1153072a148a
1224b4050a16
1312345b1012
14860cb6038
154cc95ac00
hex2e5d21ab2

12445686450 has 90 divisors (see below), whose sum is σ = 34600308039. Its totient is φ = 3316956480.

The previous prime is 12445686431. The next prime is 12445686479. The reversal of 12445686450 is 5468654421.

It is a happy number.

12445686450 is a `hidden beast` number, since 1 + 2 + 44 + 568 + 6 + 45 + 0 = 666.

12445686450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 9199089 + 12436487361 = 3033^2 + 111519^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78885.

It is a super-2 number, since 2×124456864502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12445686396 and 12445686405.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 7098774 + ... + 7100526.

Almost surely, 212445686450 is an apocalyptic number.

12445686450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445686450

12445686450 is an abundant number, since it is smaller than the sum of its proper divisors (22154621589).

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

12445686450 is an frugal number, since it uses more digits than its factorization.

12445686450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 12445686450 in words is "twelve billion, four hundred forty-five million, six hundred eighty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 1753 2025 3506 4050 5259 8765 10518 15777 17530 26295 31554 43825 47331 52590 78885 87650 94662 131475 141993 157770 236655 262950 283986 394425 473310 709965 788850 1183275 1419930 2366550 3073009 3549825 6146018 7099650 9219027 15365045 18438054 27657081 30730090 46095135 55314162 76825225 82971243 92190270 138285405 153650450 165942486 230475675 248913729 276570810 414856215 460951350 497827458 691427025 829712430 1244568645 1382854050 2074281075 2489137290 4148562150 6222843225 12445686450