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12740530374 = 23211136837247
BaseRepresentation
bin10111101110110010…
…10001000011000110
31012212220120000001100
423313121101003012
5202043033432444
65504121440530
7630502502265
oct136731210306
935786500040
1012740530374
115448774050
122576940146
1312806c4c90
1488c1065dc
154e879be69
hex2f76510c6

12740530374 has 96 divisors (see below), whose sum is σ = 32482404864. Its totient is φ = 3558075840.

The previous prime is 12740530331. The next prime is 12740530409. The reversal of 12740530374 is 47303504721.

12740530374 is a `hidden beast` number, since 12 + 7 + 40 + 530 + 3 + 74 = 666.

12740530374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127405303742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1754419 + ... + 1761665.

It is an arithmetic number, because the mean of its divisors is an integer number (338358384).

Almost surely, 212740530374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12740530374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241202432).

12740530374 is an abundant number, since it is smaller than the sum of its proper divisors (19741874490).

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

12740530374 is a wasteful number, since it uses less digits than its factorization.

12740530374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12740530374 in words is "twelve billion, seven hundred forty million, five hundred thirty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 683 858 1287 1366 2049 2574 4098 6147 7247 7513 8879 12294 14494 15026 17758 21741 22539 26637 43482 45078 53274 65223 67617 79717 79911 94211 97669 130446 135234 159434 159822 188422 195338 239151 282633 293007 478302 565266 586014 717453 847899 879021 1036321 1434906 1695798 1758042 2072642 3108963 4949701 6217926 9326889 9899402 14849103 18653778 29698206 44547309 54446711 64346113 89094618 108893422 128692226 163340133 193038339 326680266 386076678 490020399 579115017 707807243 980040798 1158230034 1415614486 2123421729 4246843458 6370265187 12740530374