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13264666646231 = 7111310125872213
BaseRepresentation
bin1100000100000110101110…
…1111100101011011010111
31201222002102102111012200102
43001001223233211123113
53214312014130134411
644113412001204315
72536224543103610
oct301015357453327
951862372435612
1013264666646231
114254571570380
1215a294603069b
13752b114b7bb0
1433c028684c07
1518009edb8d3b
hexc106bbe56d7

13264666646231 has 96 divisors (see below), whose sum is σ = 18026769729024. Its totient is φ = 9426199104000.

The previous prime is 13264666646213. The next prime is 13264666646237.

13264666646231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13264666646231 is a prime.

It is a super-2 number, since 2×132646666462312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264666646237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5993973881 + ... + 5993976093.

It is an arithmetic number, because the mean of its divisors is an integer number (187778851344).

Almost surely, 213264666646231 is an apocalyptic number.

13264666646231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13264666646231 is a deficient number, since it is larger than the sum of its proper divisors (4762103082793).

13264666646231 is a wasteful number, since it uses less digits than its factorization.

13264666646231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 2932 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 56.

The spelling of 13264666646231 in words is "thirteen trillion, two hundred sixty-four billion, six hundred sixty-six million, six hundred forty-six thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 101 143 587 707 1001 1111 1313 2213 4109 6457 7631 7777 9191 10201 14443 15491 24343 28769 45199 53417 59287 71407 83941 101101 112211 132613 170401 201383 223513 316459 415009 587587 652157 770731 785477 928291 1299031 1458743 1564591 2215213 2458643 2905669 4565099 5395117 5987987 8478041 9093217 10211201 14289341 16887403 17210501 20339683 22574813 31962359 41915909 59346287 65867857 77843831 100025387 118211821 131202131 158023691 185761433 223736513 248322943 293472569 461074999 544906817 856282141 918414917 1300330031 1443223441 1705627703 1738260601 2054307983 3228198259 5993974987 10102564087 11939393921 13251415231 18761904733 22597387813 92759906617 131333333131 145765567541 172268398003 1020358972787 1205878786021 1894952378033 13264666646231