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1912944384 = 28331361349
BaseRepresentation
bin111001000000101…
…0011011100000000
311221022112122101000
41302001103130000
512404203210014
6513453012000
765255521221
oct16201233400
94838478330
101912944384
118a189747a
12454784000
13246416670
141420b7248
15b2e18509
hex72053700

1912944384 has 288 divisors, whose sum is σ = 6209672000. Its totient is φ = 577290240.

The previous prime is 1912944367. The next prime is 1912944389. The reversal of 1912944384 is 4834492191.

1912944384 is a `hidden beast` number, since 1 + 9 + 129 + 443 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1912944389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5481042 + ... + 5481390.

Almost surely, 21912944384 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 1912944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104836000).

1912944384 is an abundant number, since it is smaller than the sum of its proper divisors (4296727616).

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

1912944384 is a wasteful number, since it uses less digits than its factorization.

1912944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1912944384 is about 43737.2196647203. The cubic root of 1912944384 is about 1241.3686725832.

The spelling of 1912944384 in words is "one billion, nine hundred twelve million, nine hundred forty-four thousand, three hundred eighty-four".