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4605045120 = 273251389691
BaseRepresentation
bin1000100100111101…
…10110100110000000
3102212221012112022200
410102132312212000
533412342420440
62040542033200
7222055144344
oct42236664600
912787175280
104605045120
111a53478615
12a86278800
13585095790
14319851624
151be43cc30
hex1127b6980

4605045120 has 384 divisors, whose sum is σ = 17342488800. Its totient is φ = 1119191040.

The previous prime is 4605045097. The next prime is 4605045157. The reversal of 4605045120 is 215405064.

4605045120 is a `hidden beast` number, since 4 + 605 + 0 + 4 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6663975 + ... + 6664665.

Almost surely, 24605045120 is an apocalyptic number.

4605045120 is a gapful number since it is divisible by the number (40) 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 4605045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671244400).

4605045120 is an abundant number, since it is smaller than the sum of its proper divisors (12737443680).

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

4605045120 is a wasteful number, since it uses less digits than its factorization.

4605045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4605045120 is about 67860.4827569035. The cubic root of 4605045120 is about 1663.7112880510.

The spelling of 4605045120 in words is "four billion, six hundred five million, forty-five thousand, one hundred twenty".