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706505481828 = 2232173311324381
BaseRepresentation
bin10100100011111110000…
…00100001111001100100
32111112121120201010010100
422101333000201321210
543033410400404303
61300321504224100
7102020602336566
oct12217700417144
92445546633110
10706505481828
11252699a20463
12b4b1330b030
1351814189c83
14262a32d5336
15135a028c8a3
hexa47f021e64

706505481828 has 36 divisors (see below), whose sum is σ = 1786919533308. Its totient is φ = 235365913920.

The previous prime is 706505481823. The next prime is 706505481853. The reversal of 706505481828 is 828184505607.

706505481828 is a `hidden beast` number, since 7 + 0 + 65 + 0 + 548 + 18 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 583317117504 + 123188364324 = 763752^2 + 350982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (706505481823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5599803 + ... + 5724578.

It is an arithmetic number, because the mean of its divisors is an integer number (49636653703).

Almost surely, 2706505481828 is an apocalyptic number.

It is an amenable number.

706505481828 is an abundant number, since it is smaller than the sum of its proper divisors (1080414051480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

706505481828 is a wasteful number, since it uses less digits than its factorization.

706505481828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326124 (or 11326119 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 706505481828 in words is "seven hundred six billion, five hundred five million, four hundred eighty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1733 3466 5199 6932 10398 15597 20796 31194 62388 11324381 22648762 33973143 45297524 67946286 101919429 135892572 203838858 407677716 19625152273 39250304546 58875456819 78500609092 117750913638 176626370457 235501827276 353252740914 706505481828