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12882832830 = 2325720448941
BaseRepresentation
bin10111111111110000…
…00110110110111110
31020020211022201022200
423333320012312332
5202341001122310
65530203452330
7634151162250
oct137770066676
936224281280
1012882832830
115511028a8a
1225b65270a6
1312a402a30a
148a2d89cd0
1550600a9c0
hex2ffe06dbe

12882832830 has 48 divisors (see below), whose sum is σ = 38280419424. Its totient is φ = 2944647360.

The previous prime is 12882832793. The next prime is 12882832871. The reversal of 12882832830 is 3823828821.

12882832830 is a `hidden beast` number, since 12 + 88 + 283 + 283 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10223841 + ... + 10225100.

It is an arithmetic number, because the mean of its divisors is an integer number (797508738).

Almost surely, 212882832830 is an apocalyptic number.

12882832830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12882832830 is an abundant number, since it is smaller than the sum of its proper divisors (25397586594).

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

12882832830 is a wasteful number, since it uses less digits than its factorization.

12882832830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20448961 (or 20448958 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12882832830 in words is "twelve billion, eight hundred eighty-two million, eight hundred thirty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 20448941 40897882 61346823 102244705 122693646 143142587 184040469 204489410 286285174 306734115 368080938 429427761 613468230 715712935 858855522 920202345 1288283283 1431425870 1840404690 2147138805 2576566566 4294277610 6441416415 12882832830