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6827531412 = 22313373073853
BaseRepresentation
bin1100101101111001…
…11101110010010100
3122121211012112100210
412112330331302110
5102440322001122
63045253405420
7331123026252
oct62674756224
918554175323
106827531412
112993a66449
1213a6639870
1384a66b120
1448aaa35d2
1529e5ec40c
hex196f3dc94

6827531412 has 96 divisors (see below), whose sum is σ = 17682028672. Its totient is φ = 2036814336.

The previous prime is 6827531407. The next prime is 6827531413. The reversal of 6827531412 is 2141357286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6827531413) 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 31 ways as a sum of consecutive naturals, for example, 1770078 + ... + 1773930.

Almost surely, 26827531412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6827531412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841014336).

6827531412 is an abundant number, since it is smaller than the sum of its proper divisors (10854497260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6827531412 is a wasteful number, since it uses less digits than its factorization.

6827531412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4215 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 6827531412 is about 82628.8775913119. The cubic root of 6827531412 is about 1897.0898581505.

Adding to 6827531412 its reverse (2141357286), we get a palindrome (8968888698).

The spelling of 6827531412 in words is "six billion, eight hundred twenty-seven million, five hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 307 444 481 614 921 962 1228 1443 1842 1924 2886 3684 3853 3991 5772 7706 7982 11359 11559 11973 15412 15964 22718 23118 23946 34077 45436 46236 47892 50089 68154 100178 136308 142561 147667 150267 200356 285122 295334 300534 427683 443001 570244 590668 601068 855366 886002 1182871 1710732 1772004 1853293 2365742 3548613 3706586 4731484 5559879 7097226 7413172 11119758 14194452 15377323 22239516 30754646 43766227 46131969 61509292 87532454 92263938 131298681 175064908 184527876 262597362 525194724 568960951 1137921902 1706882853 2275843804 3413765706 6827531412