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2012514048 = 283219311483
BaseRepresentation
bin111011111110100…
…1000011100000000
312012020220022021100
41313331020130000
513110200422143
6531411054400
7100605041616
oct16775103400
95166808240
102012514048
11943014656
12481ba1400
13260c3931c
141513d56b6
15bba356d3
hex77f48700

2012514048 has 216 divisors, whose sum is σ = 6309255680. Its totient is φ = 614615040.

The previous prime is 2012514047. The next prime is 2012514061. The reversal of 2012514048 is 8404152102.

2012514048 is a `hidden beast` number, since 2 + 0 + 1 + 251 + 404 + 8 = 666.

It is a super-3 number, since 3×20125140483 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012514047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356315 + ... + 1357797.

Almost surely, 22012514048 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 2012514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154627840).

2012514048 is an abundant number, since it is smaller than the sum of its proper divisors (4296741632).

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

2012514048 is a wasteful number, since it uses less digits than its factorization.

2012514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2012514048 is about 44861.0526849293. The cubic root of 2012514048 is about 1262.5433735777.

The spelling of 2012514048 in words is "two billion, twelve million, five hundred fourteen thousand, forty-eight".