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12984924640 = 255731111723
BaseRepresentation
bin11000001011111011…
…00011100111100000
31020111221102111221211
430011331203213200
5203043120042030
65544251555504
7636531016102
oct140575434740
936457374854
1012984924640
115563719086
12262475bb94
1312bc223c7c
148b2763572
1550ee7512a
hex305f639e0

12984924640 has 48 divisors (see below), whose sum is σ = 31097143728. Its totient is φ = 5122814976.

The previous prime is 12984924629. The next prime is 12984924661. The reversal of 12984924640 is 4642948921.

It is a happy number.

12984924640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544182 + ... + 567541.

It is an arithmetic number, because the mean of its divisors is an integer number (647857161).

Almost surely, 212984924640 is an apocalyptic number.

12984924640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12984924640 is an abundant number, since it is smaller than the sum of its proper divisors (18112219088).

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

12984924640 is a wasteful number, since it uses less digits than its factorization.

12984924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111811 (or 1111803 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 12984924640 in words is "twelve billion, nine hundred eighty-four million, nine hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 1111723 2223446 4446892 5558615 8893784 11117230 17787568 22234460 35575136 44468920 81155779 88937840 162311558 177875680 324623116 405778895 649246232 811557790 1298492464 1623115580 2596984928 3246231160 6492462320 12984924640