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4591706112 = 21332723141
BaseRepresentation
bin1000100011010111…
…11110000000000000
3102212000002211122100
410101223332000000
533400434043422
62035344110400
7221533600200
oct42153760000
912760084570
104591706112
111a46997844
12a81905400
135823a5186
14317b7c400
151bd1a57ac
hex111afe000

4591706112 has 504 divisors, whose sum is σ = 16315895232. Its totient is φ = 1238630400.

The previous prime is 4591706101. The next prime is 4591706149. The reversal of 4591706112 is 2116071954.

4591706112 is a `hidden beast` number, since 4 + 591 + 7 + 0 + 61 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111992812 + ... + 111992852.

It is an arithmetic number, because the mean of its divisors is an integer number (32372808).

Almost surely, 24591706112 is an apocalyptic number.

4591706112 is a gapful number since it is divisible by the number (42) 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 4591706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157947616).

4591706112 is an abundant number, since it is smaller than the sum of its proper divisors (11724189120).

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

4591706112 is a wasteful number, since it uses less digits than its factorization.

4591706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 4591706112 is about 67762.1288921769. The cubic root of 4591706112 is about 1662.1033617028.

The spelling of 4591706112 in words is "four billion, five hundred ninety-one million, seven hundred six thousand, one hundred twelve".