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13269430854729 = 34726728632
BaseRepresentation
bin1100000100011000011110…
…1101100110010001001001
31201222112201110012002010000
43001012013231212101021
53214401243244322404
644115520430513213
72536453603154400
oct301060755462111
951875643162100
1013269430854729
114256596869775
1215a3855665809
137533c053a38a
1433c35b2c8637
1518027d296339
hexc1187b66449

13269430854729 has 135 divisors (see below), whose sum is σ = 23434968560157. Its totient is φ = 7460704688976.

The previous prime is 13269430854727. The next prime is 13269430854733. The reversal of 13269430854729 is 92745803496231.

The square root of 13269430854729 is 3642723.

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

13269430854729 is a `hidden beast` number, since 1 + 3 + 2 + 69 + 4 + 3 + 0 + 8 + 547 + 29 = 666.

It is not a de Polignac number, because 13269430854729 - 21 = 13269430854727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13269430854727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15375933352 + ... + 15375934214.

It is a 4-persistent number, because k⋅13269430854729 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 213269430854729 is an apocalyptic number.

13269430854729 is the 3642723-rd square number.

13269430854729 is the 1821362-nd centered octagonal number.

It is an amenable number.

13269430854729 is a deficient number, since it is larger than the sum of its proper divisors (10165537705428).

13269430854729 is an frugal number, since it uses more digits than its factorization.

13269430854729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 13269430854729 in words is "thirteen trillion, two hundred sixty-nine billion, four hundred thirty million, eight hundred fifty-four thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 67 81 147 189 201 441 469 567 603 863 1323 1407 1809 2589 3283 3969 4221 4489 5427 6041 7767 9849 12663 13467 18123 23301 29547 31423 37989 40401 42287 54369 57821 69903 88641 94269 121203 126861 163107 173463 219961 265923 282807 363609 380583 404747 489321 520389 659883 744769 848421 1141749 1214241 1561167 1979649 2234307 2545263 2833229 3425247 3642723 3874007 4683501 5213383 5938947 6702921 8499687 10928169 11622021 15640149 17816841 20108763 25499061 27118049 32784507 34866063 36493681 46920447 49899523 60326289 76497183 81354147 104598189 109481043 140761341 149698569 189826343 229491549 244062441 313794567 328443129 349296661 422284023 449095707 569479029 732187323 985329387 1047889983 1347287121 1708437087 2196561969 2445076627 2955988161 3143669949 3343268041 4041861363 5125311261 7335229881 9431009847 10029804123 15375933783 22005689643 23402876287 28293029541 30089412369 66017068929 70208628861 90268237107 163820134009 198051206787 210625886583 270804711321 491460402027 631877659749 1474381206081 1895632979247 4423143618243 13269430854729