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12069363861801 = 344324721912
BaseRepresentation
bin1010111110100001111000…
…1001010100100100101001
31120201211010201102101010000
42233220132021110210221
53040221024122034201
641400331134213213
72353661042060601
oct257503611244451
946654121371100
1012069363861801
113933652285924
12142b159654209
136971a00c77ac
142da235d21c01
1515de42775d86
hexafa1e254929

12069363861801 has 135 divisors (see below), whose sum is σ = 18958936929933. Its totient is φ = 7651633565520.

The previous prime is 12069363861769. The next prime is 12069363861827. The reversal of 12069363861801 is 10816836396021.

The square root of 12069363861801 is 3474099.

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

12069363861801 is a `hidden beast` number, since 1 + 20 + 6 + 9 + 363 + 86 + 180 + 1 = 666.

It is not a de Polignac number, because 12069363861801 - 25 = 12069363861769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12069363861881) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 63190386616 + ... + 63190386806.

Almost surely, 212069363861801 is an apocalyptic number.

12069363861801 is the 3474099-th square number.

12069363861801 is the 1737050-th centered octagonal number.

It is an amenable number.

12069363861801 is a deficient number, since it is larger than the sum of its proper divisors (6889573068132).

12069363861801 is an frugal number, since it uses more digits than its factorization.

12069363861801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12069363861801 in words is "twelve trillion, sixty-nine billion, three hundred sixty-three million, eight hundred sixty-one thousand, eight hundred one".

Divisors: 1 3 9 27 43 47 81 129 141 191 387 423 573 1161 1269 1719 1849 2021 2209 3483 3807 5157 5547 6063 6627 8213 8977 15471 16641 18189 19881 24639 26931 36481 49923 54567 59643 73917 80793 86903 94987 109443 149769 163701 178929 221751 242379 260709 284961 328329 353159 386011 421919 665253 727137 782127 854883 984987 1059477 1158033 1265757 1568683 1714607 2346381 2564649 2954961 3178431 3474099 3797271 4084441 4706049 5143821 7039143 7693947 9535293 10422297 11391813 12253323 14118147 15431463 16598473 18142517 28605879 31266891 34175439 36759969 42354441 46294389 49795419 54427551 67453369 73728101 80586529 110279907 127063323 138883167 149386257 163282653 202360107 221184303 241759587 330839721 448158771 489847959 607080321 663552909 725278761 780128231 1344476313 1469543877 1821240963 1990658727 2175836283 2340384693 3170308343 3465220747 5463722889 5971976181 6527508849 7021154079 9510925029 10395662241 21063462237 28532775087 31186986723 63190386711 85598325261 93560960169 149004492121 256794975783 280682880507 447013476363 1341040429089 4023121287267 12069363861801