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13270663468821 = 3112467705711093
BaseRepresentation
bin1100000100011101000100…
…1011101001011100010101
31201222122220100120100202210
43001013101023221130111
53214411304322000241
644120243022024033
72536526261206443
oct301072113513425
951878810510683
1013270663468821
114257069620a00
1215a3b3a418019
13753558a10625
1433c436ca7b93
151803015c5316
hexc11d12e9715

13270663468821 has 48 divisors (see below), whose sum is σ = 19495182313152. Its totient is φ = 8023743383040.

The previous prime is 13270663468787. The next prime is 13270663468861. The reversal of 13270663468821 is 12886436607231.

It is a happy number.

It is not a de Polignac number, because 13270663468821 - 210 = 13270663467797 is a prime.

It is a super-2 number, since 2×132706634688212 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270663468861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196304151 + ... + 1196315243.

It is an arithmetic number, because the mean of its divisors is an integer number (406149631524).

Almost surely, 213270663468821 is an apocalyptic number.

13270663468821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13270663468821 is a deficient number, since it is larger than the sum of its proper divisors (6224518844331).

13270663468821 is a wasteful number, since it uses less digits than its factorization.

13270663468821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18642 (or 18631 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 13270663468821 in words is "thirteen trillion, two hundred seventy billion, six hundred sixty-three million, four hundred sixty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 11 33 121 363 467 1401 5137 7057 11093 15411 21171 33279 56507 77627 122023 169521 232881 366069 853897 1342253 2561691 3295619 4026759 5180431 9886857 15541293 36251809 56984741 78283301 108755427 170954223 234849903 398769899 626832151 861116311 1196309697 1880496453 2583348933 9472279421 28416838263 36558301567 109674904701 402141317237 1206423951711 4423554489607 13270663468821