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11482316718201 = 347212723119857
BaseRepresentation
bin1010011100010110111101…
…1010001100000001111001
31111122200212101122121020000
42213011233122030001321
53001111241034440301
640230523052423213
72263366340510400
oct247055732140171
944580771577200
1011482316718201
11372769449802a
121355424777b09
13653a15b43a74
142b9a66054637
1514da34b46786
hexa716f68c079

11482316718201 has 120 divisors (see below), whose sum is σ = 20120873895936. Its totient is φ = 6506182932480.

The previous prime is 11482316718199. The next prime is 11482316718259. The reversal of 11482316718201 is 10281761328411.

11482316718201 is a `hidden beast` number, since 1 + 1 + 482 + 3 + 167 + 1 + 8 + 2 + 0 + 1 = 666.

11482316718201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11482316718201 - 21 = 11482316718199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11482316718401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1164884665 + ... + 1164894521.

Almost surely, 211482316718201 is an apocalyptic number.

It is an amenable number.

11482316718201 is a deficient number, since it is larger than the sum of its proper divisors (8638557177735).

11482316718201 is a wasteful number, since it uses less digits than its factorization.

11482316718201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11482316718201 in words is "eleven trillion, four hundred eighty-two billion, three hundred sixteen million, seven hundred eighteen thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 127 147 189 381 441 567 889 1143 1323 2311 2667 3429 3969 6223 6933 8001 9857 10287 16177 18669 20799 24003 29571 48531 56007 62397 68999 72009 88713 113239 145593 168021 187191 206997 266139 293497 339717 436779 482993 504063 620991 798417 880491 1019151 1251839 1310337 1448979 1862973 2054479 2641473 3057453 3755517 4346937 5588919 6163437 7924419 8762873 9172359 11266551 13040811 14381353 18490311 22779527 23773257 26288619 33799653 39122433 43144059 55470933 61340111 68338581 78865857 101398959 129432177 159456689 166412799 184020333 205015743 236597571 388296531 478370067 552060999 615047229 709792713 1116196823 1164889593 1435110201 1656182997 1845141687 2892999929 3348590469 4305330603 4968548991 8678999787 10045771407 12915991809 20250999503 26036999361 30137314221 60752998509 78110998083 90411942663 141756996521 182258995527 234332994249 425270989563 546776986581 1275812968689 1640330959743 3827438906067 11482316718201