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2123710848 = 27327534969
BaseRepresentation
bin111111010010101…
…0100000110000000
312111000010200121100
41332211110012000
513322132221343
6550422254400
7103425146550
oct17645240600
95430120540
102123710848
1199a863436
124b3287400
1327aca034c
1416209d160
15c669c9d3
hex7e954180

2123710848 has 192 divisors, whose sum is σ = 7117437600. Its totient is φ = 595206144.

The previous prime is 2123710847. The next prime is 2123710877. The reversal of 2123710848 is 8480173212.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123710847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424908 + ... + 429876.

Almost surely, 22123710848 is an apocalyptic number.

2123710848 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 2123710848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558718800).

2123710848 is an abundant number, since it is smaller than the sum of its proper divisors (4993726752).

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

2123710848 is a wasteful number, since it uses less digits than its factorization.

2123710848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2123710848 is about 46083.7373484400. The cubic root of 2123710848 is about 1285.3807605570.

The spelling of 2123710848 in words is "two billion, one hundred twenty-three million, seven hundred ten thousand, eight hundred forty-eight".