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12525253440 = 263571863877
BaseRepresentation
bin10111010101001000…
…00011001101000000
31012022220110210121120
423222210003031000
5201122431102230
65430511352240
7622246616610
oct135244031500
935286423546
1012525253440
1153481a7327
122516822680
131247c1c28b
1486b6a8a40
154d4926310
hex2ea903340

12525253440 has 112 divisors (see below), whose sum is σ = 45448801152. Its totient is φ = 2862913536.

The previous prime is 12525253399. The next prime is 12525253441. The reversal of 12525253440 is 4435252521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12525253441) 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, 925219 + ... + 938658.

Almost surely, 212525253440 is an apocalyptic number.

12525253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12525253440 is an abundant number, since it is smaller than the sum of its proper divisors (32923547712).

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

12525253440 is a wasteful number, since it uses less digits than its factorization.

12525253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863904 (or 1863894 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 12525253440 in words is "twelve billion, five hundred twenty-five million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1863877 3727754 5591631 7455508 9319385 11183262 13047139 14911016 18638770 22366524 26094278 27958155 29822032 37277540 39141417 44733048 52188556 55916310 59644064 65235695 74555080 78282834 89466096 104377112 111832620 119288128 130471390 149110160 156565668 178932192 195707085 208754224 223665240 260942780 298220320 313131336 357864384 391414170 417508448 447330480 521885560 596440640 626262672 782828340 835016896 894660960 1043771120 1252525344 1565656680 1789321920 2087542240 2505050688 3131313360 4175084480 6262626720 12525253440