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4601675340 = 2233529319479
BaseRepresentation
bin1000100100100011…
…11111111001001100
3102212200212022212000
410102101333321030
533411012102330
62040341512300
7222014411043
oct42221777114
912780768760
104601675340
111a51586879
12a85112690
13584485a22
1431921555a
151bdec4560
hex11247fe4c

4601675340 has 192 divisors, whose sum is σ = 15289344000. Its totient is φ = 1146458880.

The previous prime is 4601675333. The next prime is 4601675357. The reversal of 4601675340 is 435761064.

It is a happy number.

4601675340 is a `hidden beast` number, since 4 + 60 + 1 + 67 + 534 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4601675295 and 4601675304.

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 63 ways as a sum of consecutive naturals, for example, 480721 + ... + 490199.

It is an arithmetic number, because the mean of its divisors is an integer number (79632000).

Almost surely, 24601675340 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 4601675340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644672000).

4601675340 is an abundant number, since it is smaller than the sum of its proper divisors (10687668660).

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

4601675340 is a wasteful number, since it uses less digits than its factorization.

4601675340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4601675340 is about 67835.6494772476. The cubic root of 4601675340 is about 1663.3053775094.

The spelling of 4601675340 in words is "four billion, six hundred one million, six hundred seventy-five thousand, three hundred forty".