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2444332706461 = 16932957488261
BaseRepresentation
bin100011100100011101100…
…101010010101010011101
322122200020202020001101001
4203210131211102222131
5310021443133101321
65110524432550301
7341411562123112
oct43443545225235
98580222201331
102444332706461
118626aa0a8768
1233588a0b2391
131496657862a9
148644081c909
15438b1952c91
hex2391d952a9d

2444332706461 has 8 divisors (see below), whose sum is σ = 2446608619224. Its totient is φ = 2442057779520.

The previous prime is 2444332706443. The next prime is 2444332706507. The reversal of 2444332706461 is 1646072334442.

2444332706461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29012649561 + 2415320056900 = 170331^2 + 1554130^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2444332706461 - 29 = 2444332705949 is a prime.

It is a super-2 number, since 2×24443327064612 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444332706411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4762071 + ... + 5250331.

It is an arithmetic number, because the mean of its divisors is an integer number (305826077403).

Almost surely, 22444332706461 is an apocalyptic number.

It is an amenable number.

2444332706461 is a deficient number, since it is larger than the sum of its proper divisors (2275912763).

2444332706461 is a wasteful number, since it uses less digits than its factorization.

2444332706461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492911.

The product of its (nonzero) digits is 2322432, while the sum is 46.

The spelling of 2444332706461 in words is "two trillion, four hundred forty-four billion, three hundred thirty-two million, seven hundred six thousand, four hundred sixty-one".

Divisors: 1 1693 2957 488261 5006201 826625873 1443787777 2444332706461