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739106442369 = 3253254072
BaseRepresentation
bin10101100000101100010…
…11010100110010000001
32121122202121011111121100
422300112023110302001
544102142222123434
61323312452045013
7104253514050021
oct12602613246201
92548677144540
10739106442369
112654a9355659
12bb2b1303769
135490b370279
1427ab6d51a81
151435c3d6699
hexac162d4c81

739106442369 has 27 divisors (see below), whose sum is σ = 1088322900483. Its totient is φ = 483351281712.

The previous prime is 739106442343. The next prime is 739106442391. The reversal of 739106442369 is 963244601937.

It is a happy number.

The square root of 739106442369 is 859713.

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

739106442369 is a `hidden beast` number, since 7 + 39 + 106 + 442 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 532819703025 + 206286739344 = 729945^2 + 454188^2 .

It is not a de Polignac number, because 739106442369 - 25 = 739106442337 is a prime.

It is a super-2 number, since 2×7391064423692 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (739106342369) 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, 136691664 + ... + 136697070.

Almost surely, 2739106442369 is an apocalyptic number.

739106442369 is the 859713-rd square number.

739106442369 is the 429857-th centered octagonal number.

It is an amenable number.

739106442369 is a deficient number, since it is larger than the sum of its proper divisors (349216458114).

739106442369 is an frugal number, since it uses more digits than its factorization.

739106442369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 739106442369 in words is "seven hundred thirty-nine billion, one hundred six million, four hundred forty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 53 159 477 2809 5407 8427 16221 25281 48663 286571 859713 2579139 15188263 29235649 45564789 87706947 136694367 263120841 1549489397 4648468191 13945404573 82122938041 246368814123 739106442369