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2327629281649 = 7267232532
BaseRepresentation
bin100001110111110001100…
…001000011100101110001
322020112000111010210212221
4201313301201003211301
5301113441044003044
64541144221321041
7330110552310100
oct41676141034561
98215014123787
102327629281649
11818162059351
1231713a406181
1313b657552439
148092d240037
15408310c5484
hex21df1843971

2327629281649 has 27 divisors (see below), whose sum is σ = 2749511478987. Its totient is φ = 1964728879344.

The previous prime is 2327629281583. The next prime is 2327629281707. The reversal of 2327629281649 is 9461829267232.

The square root of 2327629281649 is 1525657.

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., 2316194829025 + 11434452624 = 1521905^2 + 106932^2 .

It is not a de Polignac number, because 2327629281649 - 219 = 2327628757361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2327629281049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 715531507 + ... + 715534759.

It is an arithmetic number, because the mean of its divisors is an integer number (101833758481).

Almost surely, 22327629281649 is an apocalyptic number.

2327629281649 is the 1525657-th square number.

2327629281649 is the 762829-th centered octagonal number.

It is an amenable number.

2327629281649 is a deficient number, since it is larger than the sum of its proper divisors (421882197338).

2327629281649 is an frugal number, since it uses more digits than its factorization.

2327629281649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 3327 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 2327629281649 in words is "two trillion, three hundred twenty-seven billion, six hundred twenty-nine million, two hundred eighty-one thousand, six hundred forty-nine".

Divisors: 1 7 49 67 469 3253 3283 4489 22771 31423 159397 217951 219961 1525657 10582009 10679599 14602717 74074063 102219019 518518441 708994603 715533133 4962962221 34740735547 47502638401 332518468807 2327629281649