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2012989440 = 211357112337
BaseRepresentation
bin111011111111011…
…1100100000000000
312012021210110101110
41313332330200000
513110311130230
6531425203320
7100612061610
oct16776744000
95167713343
102012989440
11943309840
12482190540
13261074817
141514baa40
15bbacb4b0
hex77fbc800

2012989440 has 768 divisors, whose sum is σ = 8604610560. Its totient is φ = 389283840.

The previous prime is 2012989427. The next prime is 2012989469. The reversal of 2012989440 is 449892102.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54405102 + ... + 54405138.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 22012989440 is an apocalyptic number.

2012989440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2012989440 is an abundant number, since it is smaller than the sum of its proper divisors (6591621120).

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

2012989440 is a wasteful number, since it uses less digits than its factorization.

2012989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2012989440 is about 44866.3508656543. The cubic root of 2012989440 is about 1262.6427775655.

The spelling of 2012989440 in words is "two billion, twelve million, nine hundred eighty-nine thousand, four hundred forty".