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5736396121 = 232372892
BaseRepresentation
bin1010101011110101…
…00111010101011001
3112210210001010010121
411111322213111121
543222004133441
62345114513241
7262103363641
oct52572472531
915723033117
105736396121
112484056345
121141135821
137055a2341
143c5bd1521
15238917dd1
hex155ea7559

5736396121 has 27 divisors (see below), whose sum is σ = 6233126781. Its totient is φ = 5278705344.

The previous prime is 5736396103. The next prime is 5736396131. The reversal of 5736396121 is 1216936375.

The square root of 5736396121 is 75739.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86769225 + 5649626896 = 9315^2 + 75164^2 .

It is not a de Polignac number, because 5736396121 - 211 = 5736394073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5736396131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64453845 + ... + 64453933.

Almost surely, 25736396121 is an apocalyptic number.

5736396121 is the 75739-th square number.

5736396121 is the 37870-th centered octagonal number.

It is an amenable number.

5736396121 is a deficient number, since it is larger than the sum of its proper divisors (496730660).

5736396121 is an frugal number, since it uses more digits than its factorization.

5736396121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its digits is 204120, while the sum is 43.

The cubic root of 5736396121 is about 1790.1099691081.

The spelling of 5736396121 in words is "five billion, seven hundred thirty-six million, three hundred ninety-six thousand, one hundred twenty-one".

Divisors: 1 23 37 89 529 851 1369 2047 3293 7921 19573 31487 47081 75739 121841 182183 293077 724201 1741997 2802343 4190209 6740771 10843849 64453889 155037733 249408527 5736396121