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13465500556431 = 3711115823503287
BaseRepresentation
bin1100001111110010111001…
…1000001001110010001111
31202200021210212220220220210
43003330232120021302033
53231104321120301211
644345544321013503
72556564441136650
oct303745630116217
952607725826823
1013465500556431
114321761023660
121615854a84293
13768a39500951
14347a3b3db527
151854066629a6
hexc3f2e609c8f

13465500556431 has 32 divisors (see below), whose sum is σ = 22384446455808. Its totient is φ = 6994990931040.

The previous prime is 13465500556379. The next prime is 13465500556471.

13465500556431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13465500556431 - 29 = 13465500555919 is a prime.

It is a super-2 number, since 2×134655005564312 (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 (13465500556471) 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 31 ways as a sum of consecutive naturals, for example, 26503470 + ... + 27006756.

It is an arithmetic number, because the mean of its divisors is an integer number (699513951744).

Almost surely, 213465500556431 is an apocalyptic number.

13465500556431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13465500556431 is a deficient number, since it is larger than the sum of its proper divisors (8918945899377).

13465500556431 is a wasteful number, since it uses less digits than its factorization.

13465500556431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619131.

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 13465500556431 in words is "thirteen trillion, four hundred sixty-five billion, five hundred million, five hundred fifty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 115823 347469 503287 810761 1274053 1509861 2432283 3523009 3822159 5536157 8918371 10569027 16608471 26755113 38753099 116259297 58292210201 174876630603 408045471407 641214312211 1224136414221 1923642936633 4488500185477 13465500556431