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5738668516 = 22747732
BaseRepresentation
bin1010101100000110…
…10010000111100100
3112210221022120021101
411112003102013210
543223044343031
62345235325444
7262131610000
oct52603220744
915727276241
105738668516
112485368659
121141a50884
13705bb9759
143c6223700
15238c16361
hex1560d21e4

5738668516 has 45 divisors (see below), whose sum is σ = 11730926921. Its totient is φ = 2456247696.

The previous prime is 5738668511. The next prime is 5738668519. The reversal of 5738668516 is 6158668375.

The square root of 5738668516 is 75754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 365192100 + 5373476416 = 19110^2 + 73304^2 .

It is not an unprimeable number, because it can be changed into a prime (5738668511) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7423506 + ... + 7424278.

Almost surely, 25738668516 is an apocalyptic number.

5738668516 is the 75754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738668516

5738668516 is an abundant number, since it is smaller than the sum of its proper divisors (5992258405).

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

5738668516 is an frugal number, since it uses more digits than its factorization.

5738668516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 782 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The cubic root of 5738668516 is about 1790.3463137768.

The spelling of 5738668516 in words is "five billion, seven hundred thirty-eight million, six hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 773 1372 1546 2401 3092 4802 5411 9604 10822 21644 37877 75754 151508 265139 530278 597529 1060556 1195058 1855973 2390116 3711946 4182703 7423892 8365406 16730812 29278921 58557842 117115684 204952447 409904894 819809788 1434667129 2869334258 5738668516