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2014048512 = 28327472657
BaseRepresentation
bin111100000001011…
…1111000100000000
312012100210021011100
41320002333010000
513111044023022
6531504014400
7100624062360
oct17002770400
95170707140
102014048512
11943972503
12482601400
132613558a8
141516b49a0
15bbc3a1ac
hex780bf100

2014048512 has 216 divisors, whose sum is σ = 6780324096. Its totient is φ = 562987008.

The previous prime is 2014048499. The next prime is 2014048523. The reversal of 2014048512 is 2158404102.

2014048512 is a `hidden beast` number, since 2 + 0 + 140 + 4 + 8 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756688 + ... + 759344.

Almost surely, 22014048512 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 2014048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390162048).

2014048512 is an abundant number, since it is smaller than the sum of its proper divisors (4766275584).

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

2014048512 is a wasteful number, since it uses less digits than its factorization.

2014048512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2716 counting only the distinct ones).

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

The square root of 2014048512 is about 44878.1518336038. The cubic root of 2014048512 is about 1262.8641721971.

The spelling of 2014048512 in words is "two billion, fourteen million, forty-eight thousand, five hundred twelve".