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2663116848 = 2432771127293
BaseRepresentation
bin1001111010111011…
…1111000000110000
320212121010100112100
42132232333000300
520423224214343
61120131500400
7122665056030
oct23656770060
96777110470
102663116848
111147295117
12623a57700
133359717b2
141b39918c0
15108beb9d3
hex9ebbf030

2663116848 has 240 divisors, whose sum is σ = 8735440896. Its totient is φ = 741726720.

The previous prime is 2663116843. The next prime is 2663116853. The reversal of 2663116848 is 8486113662.

2663116848 is a `hidden beast` number, since 2 + 6 + 631 + 1 + 6 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2663116843) and next prime (2663116853).

It is a super-3 number, since 3×26631168483 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime factors (512).

It is not an unprimeable number, because it can be changed into a prime (2663116843) 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 47 ways as a sum of consecutive naturals, for example, 9088990 + ... + 9089282.

Almost surely, 22663116848 is an apocalyptic number.

2663116848 is a gapful number since it is divisible by the number (28) 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 2663116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367720448).

2663116848 is an abundant number, since it is smaller than the sum of its proper divisors (6072324048).

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

2663116848 is a wasteful number, since it uses less digits than its factorization.

2663116848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2663116848 is about 51605.3955318628. The cubic root of 2663116848 is about 1386.1069487633.

The spelling of 2663116848 in words is "two billion, six hundred sixty-three million, one hundred sixteen thousand, eight hundred forty-eight".