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445492172304 = 2432556212
BaseRepresentation
bin1100111101110010110…
…01110001011000010000
31120120220010010011112100
412132321121301120100
524244331444003204
6540353431200400
744120465661654
oct6367131613020
91516803104470
10445492172304
11161a28798813
127240a516100
13330184c36aa
14177c1d4aa64
15b8c5655a39
hex67b9671610

445492172304 has 45 divisors (see below), whose sum is σ = 1246781758989. Its totient is φ = 148494720960.

The previous prime is 445492172273. The next prime is 445492172353. The reversal of 445492172304 is 403271294544.

The square root of 445492172304 is 667452.

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

445492172304 is a `hidden beast` number, since 4 + 4 + 549 + 2 + 1 + 72 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26520773904 + 418971398400 = 162852^2 + 647280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 445492172304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7981614 + ... + 8037234.

Almost surely, 2445492172304 is an apocalyptic number.

445492172304 is the 667452-nd square number.

It is an amenable number.

445492172304 is an abundant number, since it is smaller than the sum of its proper divisors (801289586685).

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

445492172304 is an frugal number, since it uses more digits than its factorization.

445492172304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111256 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 445492 and 172304, that added together give a square (617796 = 7862).

The spelling of 445492172304 in words is "four hundred forty-five billion, four hundred ninety-two million, one hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55621 111242 166863 222484 333726 444968 500589 667452 889936 1001178 1334904 2002356 2669808 4004712 8009424 3093695641 6187391282 9281086923 12374782564 18562173846 24749565128 27843260769 37124347692 49499130256 55686521538 74248695384 111373043076 148497390768 222746086152 445492172304