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2043512064 = 28341117231
BaseRepresentation
bin111100111001101…
…1000010100000000
312021102020011120000
41321303120110000
513141114341224
6534435320000
7101432365056
oct17163302400
95242204500
102043512064
11959566950
12490450000
132674a0649
141555841d6
15be60a0c9
hex79cd8500

2043512064 has 540 divisors, whose sum is σ = 7289132928. Its totient is φ = 564019200.

The previous prime is 2043512063. The next prime is 2043512071. The reversal of 2043512064 is 4602153402.

2043512064 is a `hidden beast` number, since 20 + 435 + 1 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043512063) 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 59 ways as a sum of consecutive naturals, for example, 65919729 + ... + 65919759.

Almost surely, 22043512064 is an apocalyptic number.

2043512064 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 2043512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644566464).

2043512064 is an abundant number, since it is smaller than the sum of its proper divisors (5245620864).

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

2043512064 is a wasteful number, since it uses less digits than its factorization.

2043512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2043512064 is about 45205.2216452923. The cubic root of 2043512064 is about 1268.9925388962.

Adding to 2043512064 its reverse (4602153402), we get a palindrome (6645665466).

The spelling of 2043512064 in words is "two billion, forty-three million, five hundred twelve thousand, sixty-four".