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4788501601 = 13253232
BaseRepresentation
bin1000111010110101…
…01011110001100001
3110100201102002022011
410131122223301201
534301324022401
62111054112521
7226443410032
oct43532536141
913321362264
104788501601
112037a91144
12b177ab741
135b40a9a00
14335d68a89
151d05ca451
hex11d6abc61

4788501601 has 9 divisors (see below), whose sum is σ = 5186156499. Its totient is φ = 4419324936.

The previous prime is 4788501593. The next prime is 4788501623. The reversal of 4788501601 is 1061058874.

The square root of 4788501601 is 69199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 708358225 + 4080143376 = 26615^2 + 63876^2 .

It is not a de Polignac number, because 4788501601 - 23 = 4788501593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4788501671) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 896926 + ... + 902248.

It is an arithmetic number, because the mean of its divisors is an integer number (576239611).

Almost surely, 24788501601 is an apocalyptic number.

4788501601 is the 69199-th square number.

4788501601 is the 34600-th centered octagonal number.

It is an amenable number.

4788501601 is a deficient number, since it is larger than the sum of its proper divisors (397654898).

4788501601 is an frugal number, since it uses more digits than its factorization.

4788501601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The cubic root of 4788501601 is about 1685.5172917715.

The spelling of 4788501601 in words is "four billion, seven hundred eighty-eight million, five hundred one thousand, six hundred one".

Divisors: 1 13 169 5323 69199 899587 28334329 368346277 4788501601