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12688443692271 = 341926930649081
BaseRepresentation
bin1011100010100100001000…
…1011011101010011101111
31122221000002110100020120000
42320221002023131103233
53130341413041123041
642552553543355343
72446465314600534
oct270510213352357
948830073306500
1012688443692271
11405215874a456
12150b132152b53
137106908c38c9
1431c1a41a0d8b
151700c769bbb6
hexb8a422dd4ef

12688443692271 has 40 divisors (see below), whose sum is σ = 20026110178800. Its totient is φ = 7983962743680.

The previous prime is 12688443692209. The next prime is 12688443692317. The reversal of 12688443692271 is 17229634488621.

12688443692271 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 8 + 44 + 369 + 227 + 1 = 666.

It is not a de Polignac number, because 12688443692271 - 26 = 12688443692207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12688443692199 and 12688443692208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688443692671) 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 39 ways as a sum of consecutive naturals, for example, 14910550 + ... + 15738531.

It is an arithmetic number, because the mean of its divisors is an integer number (500652754470).

Almost surely, 212688443692271 is an apocalyptic number.

12688443692271 is a deficient number, since it is larger than the sum of its proper divisors (7337666486529).

12688443692271 is a wasteful number, since it uses less digits than its factorization.

12688443692271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30649381 (or 30649372 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 12688443692271 in words is "twelve trillion, six hundred eighty-eight billion, four hundred forty-three million, six hundred ninety-two thousand, two hundred seventy-one".

Divisors: 1 3 9 19 27 57 81 171 269 513 807 1539 2421 5111 7263 15333 21789 45999 137997 413991 30649081 91947243 275841729 582332539 827525187 1746997617 2482575561 5240992851 8244602789 15722978553 24733808367 47168935659 74201425101 156647452991 222604275303 469942358973 667812825909 1409827076919 4229481230757 12688443692271