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739089248209 = 13450872
BaseRepresentation
bin10101100000101010010…
…01101110111111010001
32121122201101210221122121
422300111021232333101
544102123321420314
61323311035334241
7104253214645204
oct12602511567721
92548641727577
10739089248209
1126549a681404
12bb2a75b1381
1354907930000
1427ab495793b
151435ab3bd24
hexac1526efd1

739089248209 has 15 divisors (see below), whose sum is σ = 800835290237. Its totient is φ = 682102115448.

The previous prime is 739089248201. The next prime is 739089248221. The reversal of 739089248209 is 902842980937.

The square root of 739089248209 is 859703.

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

It can be written as a sum of positive squares in 2 ways, for example, as 366452254609 + 372636993600 = 605353^2 + 610440^2 .

It is not a de Polignac number, because 739089248209 - 23 = 739089248201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (739089248201) 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, 145287264 + ... + 145292350.

Almost surely, 2739089248209 is an apocalyptic number.

739089248209 is the 859703-rd square number.

739089248209 is the 429852-nd centered octagonal number.

It is an amenable number.

739089248209 is a deficient number, since it is larger than the sum of its proper divisors (61746042028).

739089248209 is an frugal number, since it uses more digits than its factorization.

739089248209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 739089248209 in words is "seven hundred thirty-nine billion, eighty-nine million, two hundred forty-eight thousand, two hundred nine".

Divisors: 1 13 169 2197 5087 28561 66131 859703 11176139 25877569 145289807 336408397 4373309161 56853019093 739089248209