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9682363201 = 72140572
BaseRepresentation
bin10010000010001110…
…10010001101000001
3220222210002000100111
421001013102031001
5124312141110301
64240434351321
7461636505100
oct110107221501
926883060314
109682363201
114119494865
121a6272b541
13bb3c55ac4
1467bcbc037
153ba068551
hex2411d2341

9682363201 has 9 divisors (see below), whose sum is σ = 11263958499. Its totient is φ = 8298578064.

The previous prime is 9682363181. The next prime is 9682363213. The reversal of 9682363201 is 1023632869.

The square root of 9682363201 is 98399.

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., 307476225 + 9374886976 = 17535^2 + 96824^2 .

It is not a de Polignac number, because 9682363201 - 213 = 9682355009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9682363601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 681765 + ... + 695821.

Almost surely, 29682363201 is an apocalyptic number.

9682363201 is the 98399-th square number.

9682363201 is the 49200-th centered octagonal number.

It is an amenable number.

9682363201 is a deficient number, since it is larger than the sum of its proper divisors (1581595298).

9682363201 is an frugal number, since it uses more digits than its factorization.

9682363201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28128 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 9682363201 is about 2131.3778913963.

The spelling of 9682363201 in words is "nine billion, six hundred eighty-two million, three hundred sixty-three thousand, two hundred one".

Divisors: 1 7 49 14057 98399 688793 197599249 1383194743 9682363201