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48330648608 = 2511235332
BaseRepresentation
bin101101000000101110…
…110010110000100000
311121202020122100000112
4231000232302300200
51242440121223413
634111445310452
73330451510034
oct550056626040
9147666570015
1048330648608
1119551433700
129449a05428
134732c64738
1424a6b461c4
1513cd0472a8
hexb40bb2c20

48330648608 has 54 divisors (see below), whose sum is σ = 104617035117. Its totient is φ = 21962258560.

The previous prime is 48330648607. The next prime is 48330648617. The reversal of 48330648608 is 80684603384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 42820852624 + 5509795984 = 206932^2 + 74228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155452.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48330648607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13678010 + ... + 13681542.

Almost surely, 248330648608 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 48330648608

48330648608 is an abundant number, since it is smaller than the sum of its proper divisors (56286386509).

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

48330648608 is an frugal number, since it uses more digits than its factorization.

48330648608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

Multiplying 48330648608 by its sum of digits (50), we get a square (2416532430400 = 15545202).

The spelling of 48330648608 in words is "forty-eight billion, three hundred thirty million, six hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3533 3872 7066 14132 28264 38863 56528 77726 113056 155452 310904 427493 621808 854986 1243616 1709972 3419944 6839888 12482089 13679776 24964178 49928356 99856712 137302979 199713424 274605958 399426848 549211916 1098423832 1510332769 2196847664 3020665538 4393695328 6041331076 12082662152 24165324304 48330648608