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2012863104 = 273271714683
BaseRepresentation
bin111011111111001…
…1101101010000000
312012021120001002100
41313332131222000
513110243104404
6531422350400
7100611024360
oct16776355200
95167501070
102012863104
1194323292a
1248212b400
1326102c175
141514869a0
15bbaa3d39
hex77f9da80

2012863104 has 192 divisors, whose sum is σ = 7009554240. Its totient is φ = 541237248.

The previous prime is 2012863103. The next prime is 2012863123. The reversal of 2012863104 is 4013682102.

2012863104 is a `hidden beast` number, since 2 + 0 + 1 + 28 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2012863103) 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, 129747 + ... + 144429.

It is an arithmetic number, because the mean of its divisors is an integer number (36508095).

Almost surely, 22012863104 is an apocalyptic number.

2012863104 is a gapful number since it is divisible by the number (24) 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 2012863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504777120).

2012863104 is an abundant number, since it is smaller than the sum of its proper divisors (4996691136).

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

2012863104 is a wasteful number, since it uses less digits than its factorization.

2012863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2012863104 is about 44864.9429287501. The cubic root of 2012863104 is about 1262.6163623624.

The spelling of 2012863104 in words is "two billion, twelve million, eight hundred sixty-three thousand, one hundred four".