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12076454364330 = 23517167271523219
BaseRepresentation
bin1010111110111100010011…
…0001011100010010101010
31120202111102212110020000210
42233233010301130102222
53040330034304124310
641403502504241550
72354331540254616
oct257570461342252
946674385406023
1012076454364330
113936660724374
1214305b81702b6
13697a6009a315
142da7098ba346
1515e209eba820
hexafbc4c5c4aa

12076454364330 has 128 divisors (see below), whose sum is σ = 30986143211520. Its totient is φ = 3001680737280.

The previous prime is 12076454364223. The next prime is 12076454364349. The reversal of 12076454364330 is 3346345467021.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12076454364330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22819461 + ... + 23342679.

It is an arithmetic number, because the mean of its divisors is an integer number (242079243840).

Almost surely, 212076454364330 is an apocalyptic number.

12076454364330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12076454364330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493071605760).

12076454364330 is an abundant number, since it is smaller than the sum of its proper divisors (18909688847190).

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

12076454364330 is a wasteful number, since it uses less digits than its factorization.

12076454364330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523684.

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 12076454364330 in words is "twelve trillion, seventy-six billion, four hundred fifty-four million, three hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 167 170 255 271 334 501 510 542 813 835 1002 1355 1626 1670 2505 2710 2839 4065 4607 5010 5678 8130 8517 9214 13821 14195 17034 23035 27642 28390 42585 45257 46070 69105 85170 90514 135771 138210 226285 271542 452570 523219 678855 769369 1046438 1357710 1538738 1569657 2308107 2616095 3139314 3846845 4616214 5232190 7693690 7848285 8894723 11540535 15696570 17789446 23081070 26684169 44473615 53368338 87377573 88947230 133420845 141792349 174755146 262132719 266841690 283584698 425377047 436887865 524265438 708961745 850754094 873775730 1310663595 1417923490 1485418741 2126885235 2410469933 2621327190 2970837482 4253770470 4456256223 4820939866 7231409799 7427093705 8912512446 12052349665 14462819598 14854187410 22281281115 23679322283 24104699330 36157048995 44562562230 47358644566 71037966849 72314097990 118396611415 142075933698 236793222830 355189834245 402548478811 710379668490 805096957622 1207645436433 2012742394055 2415290872866 4025484788110 6038227182165 12076454364330