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5719964288 = 27199724247
BaseRepresentation
bin1010101001110111…
…11011101010000000
3112202122010021220012
411110323323222000
543203302324123
62343330404052
7261513615503
oct52473735200
915678107805
105719964288
112475852915
121137730628
1370206b06c
143c395513a
1523726e378
hex154efba80

5719964288 has 64 divisors (see below), whose sum is σ = 12119150400. Its totient is φ = 2681413632.

The previous prime is 5719964281. The next prime is 5719964293. The reversal of 5719964288 is 8824699175.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5719964281) 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 7 ways as a sum of consecutive naturals, for example, 223781 + ... + 248027.

It is an arithmetic number, because the mean of its divisors is an integer number (189361725).

Almost surely, 25719964288 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 5719964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059575200).

5719964288 is an abundant number, since it is smaller than the sum of its proper divisors (6399186112).

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

5719964288 is a wasteful number, since it uses less digits than its factorization.

5719964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377 (or 24365 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 59.

The square root of 5719964288 is about 75630.4455097284. The cubic root of 5719964288 is about 1788.3990854617.

The spelling of 5719964288 in words is "five billion, seven hundred nineteen million, nine hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 304 388 608 776 1216 1552 1843 2432 3104 3686 6208 7372 12416 14744 24247 29488 48494 58976 96988 117952 193976 235904 387952 460693 775904 921386 1551808 1842772 2351959 3103616 3685544 4703918 7371088 9407836 14742176 18815672 29484352 37631344 44687221 58968704 75262688 89374442 150525376 178748884 301050752 357497768 714995536 1429991072 2859982144 5719964288