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2050013184 = 21132389163
BaseRepresentation
bin111101000110000…
…1011100000000000
312021212110110102020
41322030023200000
513144300410214
6535230521440
7101541552552
oct17214134000
95255413366
102050013184
119621a727a
12492666280
1326893876b
141563974d2
15bee914a9
hex7a30b800

2050013184 has 192 divisors, whose sum is σ = 5802451200. Its totient is φ = 642318336.

The previous prime is 2050013177. The next prime is 2050013197. The reversal of 2050013184 is 4813100502.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12576687 + ... + 12576849.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 22050013184 is an apocalyptic number.

2050013184 is a gapful number since it is divisible by the number (24) 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 2050013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901225600).

2050013184 is an abundant number, since it is smaller than the sum of its proper divisors (3752438016).

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

2050013184 is a wasteful number, since it uses less digits than its factorization.

2050013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2050013184 is about 45277.0712833770. The cubic root of 2050013184 is about 1270.3368160324.

Adding to 2050013184 its reverse (4813100502), we get a palindrome (6863113686).

The spelling of 2050013184 in words is "two billion, fifty million, thirteen thousand, one hundred eighty-four".