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5718838128 = 2432313737811
BaseRepresentation
bin1010101001101111…
…01000101101110000
3112202120000002002120
411110313220231300
543203010310003
62343250314240
7261501215313
oct52467505560
915676002076
105718838128
112475153803
121137288980
13701a655b3
143c374097a
152370ea853
hex154de8b70

5718838128 has 80 divisors (see below), whose sum is σ = 15528934656. Its totient is φ = 1810040320.

The previous prime is 5718838123. The next prime is 5718838157. The reversal of 5718838128 is 8218388175.

It is a Cunningham number, because it is equal to 756232-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5718838123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132343 + ... + 170153.

Almost surely, 25718838128 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 5718838128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764467328).

5718838128 is an abundant number, since it is smaller than the sum of its proper divisors (9810096528).

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

5718838128 is a wasteful number, since it uses less digits than its factorization.

5718838128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37982 (or 37976 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The square root of 5718838128 is about 75622.9999933883. Note that the first 5 decimals coincide. The cubic root of 5718838128 is about 1788.2817096878.

The spelling of 5718838128 in words is "five billion, seven hundred eighteen million, eight hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 137 138 184 274 276 368 411 548 552 822 1096 1104 1644 2192 3151 3288 6302 6576 9453 12604 18906 25208 37811 37812 50416 75622 75624 113433 151244 151248 226866 302488 453732 604976 869653 907464 1739306 1814928 2608959 3478612 5180107 5217918 6957224 10360214 10435836 13914448 15540321 20720428 20871672 31080642 41440856 41743344 62161284 82881712 119142461 124322568 238284922 248645136 357427383 476569844 714854766 953139688 1429709532 1906279376 2859419064 5718838128