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13083993492 = 22317332319301
BaseRepresentation
bin11000010111101110…
…11110010110010100
31020202211211201212120
430023313132112110
5203244000242432
610002151215540
7642143052423
oct141367362624
936684751776
1013083993492
115604633a69
1226519775b0
1313068cc9ab
148c19912ba
155189e3c2c
hex30bdde594

13083993492 has 48 divisors (see below), whose sum is σ = 32336563392. Its totient is φ = 4103334400.

The previous prime is 13083993479. The next prime is 13083993493. The reversal of 13083993492 is 29439938031.

It is a super-3 number, since 3×130839934923 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13083993493) 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 15 ways as a sum of consecutive naturals, for example, 668242 + ... + 687542.

It is an arithmetic number, because the mean of its divisors is an integer number (673678404).

Almost surely, 213083993492 is an apocalyptic number.

13083993492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13083993492 is an abundant number, since it is smaller than the sum of its proper divisors (19252569900).

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

13083993492 is a wasteful number, since it uses less digits than its factorization.

13083993492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22648 (or 22646 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 13083993492 in words is "thirteen billion, eighty-three million, nine hundred ninety-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 3323 6646 9969 13292 19301 19938 38602 39876 56491 57903 77204 112982 115806 169473 225964 231612 328117 338946 656234 677892 984351 1312468 1968702 3937404 64137223 128274446 192411669 256548892 384823338 769646676 1090332791 2180665582 3270998373 4361331164 6541996746 13083993492