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12605063440 = 2451729319601
BaseRepresentation
bin10111011110101001…
…00000000100010000
31012112110122120100111
423233110200010100
5201303344012230
65442442131104
7624236162044
oct135724400420
935473576314
1012605063440
115389258802
1225394b0a94
13125b614028
14878122024
154db93d92a
hex2ef520110

12605063440 has 80 divisors (see below), whose sum is σ = 32100824880. Its totient is φ = 4581785600.

The previous prime is 12605063431. The next prime is 12605063441. The reversal of 12605063440 is 4436050621.

It can be written as a sum of positive squares in 8 ways, for example, as 97772544 + 12507290896 = 9888^2 + 111836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12605063441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120361 + ... + 199240.

It is an arithmetic number, because the mean of its divisors is an integer number (401260311).

Almost surely, 212605063440 is an apocalyptic number.

12605063440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12605063440 is an abundant number, since it is smaller than the sum of its proper divisors (19495761440).

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

12605063440 is a wasteful number, since it uses less digits than its factorization.

12605063440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319660 (or 319654 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 12605063440 in words is "twelve billion, six hundred five million, sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 319601 639202 1278404 1598005 2556808 3196010 5113616 5433217 6392020 9268429 10866434 12784040 18536858 21732868 25568080 27166085 37073716 43465736 46342145 54332170 74147432 86931472 92684290 108664340 148294864 157563293 185368580 217328680 315126586 370737160 434657360 630253172 741474320 787816465 1260506344 1575632930 2521012688 3151265860 6302531720 12605063440