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12740088384 = 263247032
BaseRepresentation
bin10111101110101111…
…00101001001000000
31012212212201112202100
423313113211021000
5202042430312014
65504104150400
7630465651552
oct136727451100
935785645670
1012740088384
1154484a1a71
122576768400
13128059ba4a
1488c02d4d2
154e8711009
hex2f75e5240

12740088384 has 63 divisors (see below), whose sum is σ = 36524929363. Its totient is φ = 4245793152.

The previous prime is 12740088377. The next prime is 12740088467. The reversal of 12740088384 is 48388004721.

The square root of 12740088384 is 112872.

It is a perfect power (a square), and thus also a powerful number.

12740088384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2706577 + ... + 2711279.

Almost surely, 212740088384 is an apocalyptic number.

12740088384 is the 112872-nd square number.

It is an amenable number.

12740088384 is an abundant number, since it is smaller than the sum of its proper divisors (23784840979).

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

12740088384 is an frugal number, since it uses more digits than its factorization.

12740088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12740088384 in words is "twelve billion, seven hundred forty million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4703 9406 14109 18812 28218 37624 42327 56436 75248 84654 112872 150496 169308 225744 300992 338616 451488 677232 902976 1354464 2708928 22118209 44236418 66354627 88472836 132709254 176945672 199063881 265418508 353891344 398127762 530837016 707782688 796255524 1061674032 1415565376 1592511048 2123348064 3185022096 4246696128 6370044192 12740088384