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5038993344 = 2637111917939
BaseRepresentation
bin1001011000101100…
…01110111111000000
3111000011202101101010
410230112032333000
540304440241334
62152003040520
7235604510460
oct45426167700
914004671333
105038993344
112156420310
12b87670140
13623c62188
1435b331ba0
151e75aa0e9
hex12c58efc0

5038993344 has 224 divisors, whose sum is σ = 17497958400. Its totient is φ = 1239874560.

The previous prime is 5038993331. The next prime is 5038993417. The reversal of 5038993344 is 4433998305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5038993293 and 5038993302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271927 + ... + 289865.

Almost surely, 25038993344 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 5038993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748979200).

5038993344 is an abundant number, since it is smaller than the sum of its proper divisors (12458965056).

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

5038993344 is a wasteful number, since it uses less digits than its factorization.

5038993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991 (or 17981 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 5038993344 is about 70985.8672131291. The cubic root of 5038993344 is about 1714.4096196791.

The spelling of 5038993344 in words is "five billion, thirty-eight million, nine hundred ninety-three thousand, three hundred forty-four".