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2054516112 = 2432112611933
BaseRepresentation
bin111101001110101…
…0110110110010000
312022011221020021100
41322131112312100
513201424003422
6535511224400
7101625045615
oct17235266620
95264836240
102054516112
119647a2400
12494078100
1326985420c
14156c0a50c
15c05807ac
hex7a756d90

2054516112 has 180 divisors, whose sum is σ = 6426948892. Its totient is φ = 612057600.

The previous prime is 2054516063. The next prime is 2054516141. The reversal of 2054516112 is 2116154502.

2054516112 is a `hidden beast` number, since 2 + 0 + 5 + 45 + 1 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 609299856 + 1445216256 = 24684^2 + 38016^2 .

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 35 ways as a sum of consecutive naturals, for example, 1061898 + ... + 1063830.

Almost surely, 22054516112 is an apocalyptic number.

2054516112 is a gapful number since it is divisible by the number (22) 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 2054516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213474446).

2054516112 is an abundant number, since it is smaller than the sum of its proper divisors (4372432780).

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

2054516112 is a wasteful number, since it uses less digits than its factorization.

2054516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2054516112 is about 45326.7703680728. The cubic root of 2054516112 is about 1271.2662494189.

The spelling of 2054516112 in words is "two billion, fifty-four million, five hundred sixteen thousand, one hundred twelve".