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4880055264 = 2537127211271
BaseRepresentation
bin1001000101101111…
…11011101111100000
3110121002200111022120
410202313323233200
534443243232024
62124124304240
7231634533240
oct44267735740
913532614276
104880055264
112084733827
12b423a2080
135ca053b86
1434419bb20
151d8662479
hex122dfbbe0

4880055264 has 192 divisors, whose sum is σ = 14880079872. Its totient is φ = 1371686400.

The previous prime is 4880055263. The next prime is 4880055269. The reversal of 4880055264 is 4625500884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4880055263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18007449 + ... + 18007719.

It is an arithmetic number, because the mean of its divisors is an integer number (77500416).

Almost surely, 24880055264 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 4880055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440039936).

4880055264 is an abundant number, since it is smaller than the sum of its proper divisors (10000024608).

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

4880055264 is a wasteful number, since it uses less digits than its factorization.

4880055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4880055264 is about 69857.3923361014. The cubic root of 4880055264 is about 1696.1916205409.

The spelling of 4880055264 in words is "four billion, eight hundred eighty million, fifty-five thousand, two hundred sixty-four".