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11723235556149 = 3313971273318191
BaseRepresentation
bin1010101010011000011101…
…0010100111101100110101
31112111201201102221121221000
42222212013102213230311
53014033141300244044
640533325143313513
72316655464033135
oct252460722475465
945451642847830
1011723235556149
11380a883935877
12139405ba4b899
1367065b6a6390
142c759c764ac5
15154e355a0d69
hexaa9874a7b35

11723235556149 has 128 divisors (see below), whose sum is σ = 19105222492160. Its totient is φ = 7061441587200.

The previous prime is 11723235556141. The next prime is 11723235556159. The reversal of 11723235556149 is 94165553232711.

11723235556149 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 3 + 2 + 35 + 5 + 561 + 49 = 666.

It is not a de Polignac number, because 11723235556149 - 23 = 11723235556141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11723235556095 and 11723235556104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11723235556141) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1431229644 + ... + 1431237834.

It is an arithmetic number, because the mean of its divisors is an integer number (149259550720).

Almost surely, 211723235556149 is an apocalyptic number.

It is an amenable number.

11723235556149 is a deficient number, since it is larger than the sum of its proper divisors (7381986936011).

11723235556149 is a wasteful number, since it uses less digits than its factorization.

11723235556149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8762 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 11723235556149 in words is "eleven trillion, seven hundred twenty-three billion, two hundred thirty-five million, five hundred fifty-six thousand, one hundred forty-nine".

Divisors: 1 3 9 13 27 39 97 117 127 291 331 351 381 873 993 1143 1261 1651 2619 2979 3429 3783 4303 4953 8191 8937 11349 12319 12909 14859 24573 32107 34047 36957 38727 42037 44577 73719 96321 106483 110871 116181 126111 160147 221157 288963 319449 332613 378333 417391 480441 546481 794527 866889 958347 1040257 1134999 1252173 1441323 1639443 2383581 2711221 2875041 3120771 3756519 4077589 4323969 4918329 7150743 8133663 9362313 10328851 11269557 12232767 13523341 14754987 21452229 24400989 28086939 30986553 35245873 36698301 40570023 53008657 73202967 92959659 100904929 105737619 110094903 121710069 159025971 262988437 278878977 302714787 317212857 344325067 365130207 477077913 788965311 908144361 951638571 1032975201 1311764077 1431233739 2366895933 2724433083 3098925603 3418849681 3935292231 4476225871 7100687799 9296776809 10256549043 11805876693 13428677613 30769647129 33399531499 35417630079 40286032839 92308941387 100198594497 120858098517 300595783491 434193909487 901787350473 1302581728461 3907745185383 11723235556149