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12070767744 = 27347166319
BaseRepresentation
bin10110011110111100…
…10100110010000000
31011011020021112110000
423033132110302000
5144210104031434
65313434240000
7605060555460
oct131736246200
934136245400
1012070767744
1151346a7512
12240a586000
1311a4a11929
1482719dba0
154a9a9db99
hex2cf794c80

12070767744 has 160 divisors (see below), whose sum is σ = 41054428800. Its totient is φ = 3448770048.

The previous prime is 12070767743. The next prime is 12070767749. The reversal of 12070767744 is 44776707021.

It is a self number, because there is not a number n which added to its sum of digits gives 12070767744.

It is not an unprimeable number, because it can be changed into a prime (12070767743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10584 + ... + 155735.

It is an arithmetic number, because the mean of its divisors is an integer number (256590180).

Almost surely, 212070767744 is an apocalyptic number.

12070767744 is a gapful number since it is divisible by the number (14) 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 12070767744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527214400).

12070767744 is an abundant number, since it is smaller than the sum of its proper divisors (28983661056).

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

12070767744 is an equidigital number, since it uses as much as digits as its factorization.

12070767744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166352 (or 166331 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 12070767744 in words is "twelve billion, seventy million, seven hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 166319 332638 498957 665276 997914 1164233 1330552 1496871 1995828 2328466 2661104 2993742 3492699 3991656 4490613 4656932 5322208 5987484 6985398 7983312 8981226 9313864 10478097 10644416 11974968 13471839 13970796 15966624 17962452 18627728 20956194 21288832 23949936 26943678 27941592 31434291 31933248 35924904 37255456 41912388 47899872 53887356 55883184 62868582 63866496 71849808 74510912 83824776 94302873 95799744 107774712 111766368 125737164 143699616 149021824 167649552 188605746 191599488 215549424 223532736 251474328 287399232 335299104 377211492 431098848 447065472 502948656 574798464 670598208 754422984 862197696 1005897312 1341196416 1508845968 1724395392 2011794624 3017691936 4023589248 6035383872 12070767744