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5718838320 = 24325132431093
BaseRepresentation
bin1010101001101111…
…01000110000110000
3112202120000002100200
411110313220300300
543203010311240
62343250315200
7261501216006
oct52467506060
915676002320
105718838320
112475153968
121137288b00
13701a65700
143c3740a76
152370ea930
hex154de8c30

5718838320 has 360 divisors, whose sum is σ = 21299891184. Its totient is φ = 1373718528.

The previous prime is 5718838313. The next prime is 5718838327. The reversal of 5718838320 is 238388175.

It is an interprime number because it is at equal distance from previous prime (5718838313) and next prime (5718838327).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×57188383202 = 65410223460600844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5718838327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5231694 + ... + 5232786.

Almost surely, 25718838320 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 5718838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649945592).

5718838320 is an abundant number, since it is smaller than the sum of its proper divisors (15581052864).

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

5718838320 is a wasteful number, since it uses less digits than its factorization.

5718838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5718838320 is about 75623.0012628433. The cubic root of 5718838320 is about 1788.2817297006.

The spelling of 5718838320 in words is "five billion, seven hundred eighteen million, eight hundred thirty-eight thousand, three hundred twenty".