Search a number
-
+
12666780037665 = 3451323611714787
BaseRepresentation
bin1011100001010011011011…
…1011001011001000100001
31122211221011200100120020000
42320110312323023020201
53130013031142201130
642535012144210213
72445100421555625
oct270246673131041
948757150316200
1012666780037665
114043a51122076
121506aa7009969
1370b61a656980
1431b10ad75185
1516e75a85b260
hexb8536ecb221

12666780037665 has 160 divisors (see below), whose sum is σ = 25934508585216. Its totient is φ = 5867037411840.

The previous prime is 12666780037531. The next prime is 12666780037729. The reversal of 12666780037665 is 56673008766621.

It is not a de Polignac number, because 12666780037665 - 28 = 12666780037409 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6529402 + ... + 8244188.

Almost surely, 212666780037665 is an apocalyptic number.

12666780037665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12666780037665 is an abundant number, since it is smaller than the sum of its proper divisors (13267728547551).

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

12666780037665 is a wasteful number, since it uses less digits than its factorization.

12666780037665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714901 (or 1714892 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 12666780037665 in words is "twelve trillion, six hundred sixty-six billion, seven hundred eighty million, thirty-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 61 65 69 81 115 117 135 183 195 207 299 305 345 351 405 549 585 621 793 897 915 1035 1053 1403 1495 1647 1755 1863 2379 2691 2745 3105 3965 4209 4485 4941 5265 7015 7137 8073 8235 9315 11895 12627 13455 18239 21045 21411 24219 24705 35685 37881 40365 54717 63135 64233 91195 107055 113643 121095 164151 189405 273585 321165 492453 568215 820755 1477359 1714787 2462265 5144361 7386795 8573935 15433083 22292231 25721805 39440101 46299249 66876693 77165415 104602007 111461155 118320303 138897747 197200505 200630079 231496245 313806021 334383465 354960909 512721313 523010035 591601515 601890237 694488735 941418063 1003150395 1064882727 1359826091 1538163939 1569030105 1774804545 1805670711 2405846161 2563606565 2824254189 3009451185 3194648181 4079478273 4614491817 4707090315 5324413635 6799130455 7217538483 7690819695 8472762567 9028353555 12029230805 12238434819 13843475451 14121270945 15973240905 20397391365 21652615449 23072459085 31276000093 36087692415 36715304457 41530426353 42363812835 61192174095 64957846347 69217377255 93828000279 108263077245 110145913371 156380000465 183576522285 194873539041 207652131765 281484000837 324789231735 469140001395 550729566855 844452002511 974367695205 1407420004185 2533356007533 4222260012555 12666780037665