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12471702720 = 263513993463
BaseRepresentation
bin10111001110101111…
…10001010011000000
31012012011201010211120
423213113301103000
5201020223441340
65421315512240
7621026503221
oct134727612300
935164633746
1012471702720
11531aa50934
1225008b8680
131239abc969
14864529248
154ced994d0
hex2e75f14c0

12471702720 has 112 divisors (see below), whose sum is σ = 39882958080. Its totient is φ = 3301825536.

The previous prime is 12471702709. The next prime is 12471702769. The reversal of 12471702720 is 2720717421.

12471702720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 86709 + ... + 180171.

It is an arithmetic number, because the mean of its divisors is an integer number (356097840).

Almost surely, 212471702720 is an apocalyptic number.

12471702720 is a gapful number since it is divisible by the number (10) 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 12471702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941479040).

12471702720 is an abundant number, since it is smaller than the sum of its proper divisors (27411255360).

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

12471702720 is a wasteful number, since it uses less digits than its factorization.

12471702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93622 (or 93612 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 12471702720 in words is "twelve billion, four hundred seventy-one million, seven hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 22240 26688 33360 44480 66720 93463 133440 186926 280389 373852 467315 560778 747704 934630 1121556 1401945 1495408 1869260 2243112 2803890 2990816 3738520 4486224 5607780 5981632 7477040 8972448 11215560 12991357 14954080 17944896 22431120 25982714 29908160 38974071 44862240 51965428 64956785 77948142 89724480 103930856 129913570 155896284 194870355 207861712 259827140 311792568 389740710 415723424 519654280 623585136 779481420 831446848 1039308560 1247170272 1558962840 2078617120 2494340544 3117925680 4157234240 6235851360 12471702720