Search a number
-
+
13975824868011 = 324348497744649
BaseRepresentation
bin1100101101100000000000…
…0100111010001010101011
31211111002001021011000010200
43023120000010322022223
53312434442131234021
645420223314043243
72641501653205146
oct313300004721253
954432037130120
1013975824868011
1144a9128875166
121698737579523
137a4bb7599716
1436460d88505d
15193823866126
hexcb60013a2ab

13975824868011 has 24 divisors (see below), whose sum is σ = 20657228420400. Its totient is φ = 9100337250816.

The previous prime is 13975824868003. The next prime is 13975824868067. The reversal of 13975824868011 is 11086842857931.

13975824868011 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 582 + 48 + 6 + 8 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 13975824868011 - 23 = 13975824868003 is a prime.

It is a super-2 number, since 2×139758248680112 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13975824868011.

It is not an unprimeable number, because it can be changed into a prime (13975824868001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18396015 + ... + 19140663.

It is an arithmetic number, because the mean of its divisors is an integer number (860717850850).

It is a 1-persistent number, because it is pandigital, but 2⋅13975824868011 = 27951649736022 is not.

Almost surely, 213975824868011 is an apocalyptic number.

13975824868011 is a deficient number, since it is larger than the sum of its proper divisors (6681403552389).

13975824868011 is a wasteful number, since it uses less digits than its factorization.

13975824868011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793195 (or 793192 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 13975824868011 in words is "thirteen trillion, nine hundred seventy-five billion, eight hundred twenty-four million, eight hundred sixty-eight thousand, eleven".

Divisors: 1 3 9 43 129 387 48497 145491 436473 744649 2085371 2233947 6256113 6701841 18768339 32019907 96059721 288179163 36113242553 108339727659 325019182977 1552869429779 4658608289337 13975824868011