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2043964416 = 210313231127
BaseRepresentation
bin111100111010100…
…0110110000000000
312021110002011001210
41321311012300000
513141223330131
6534453130120
7101436260634
oct17165066000
95243064053
102043964416
1195984579a
12490629940
132675cb500
14155660dc4
15be699146
hex79d46c00

2043964416 has 264 divisors, whose sum is σ = 6137462784. Its totient is φ = 603832320.

The previous prime is 2043964411. The next prime is 2043964427. The reversal of 2043964416 is 6144693402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043964411) 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, 16094145 + ... + 16094271.

Almost surely, 22043964416 is an apocalyptic number.

2043964416 is a gapful number since it is divisible by the number (26) 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 2043964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068731392).

2043964416 is an abundant number, since it is smaller than the sum of its proper divisors (4093498368).

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

2043964416 is a wasteful number, since it uses less digits than its factorization.

2043964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2043964416 is about 45210.2246842459. The cubic root of 2043964416 is about 1269.0861667526.

The spelling of 2043964416 in words is "two billion, forty-three million, nine hundred sixty-four thousand, four hundred sixteen".