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4485042955264 = 2101742292
BaseRepresentation
bin100000101000100000101…
…1001000110010000000000
3120212202200100120211000211
41001101001121012100000
51041440331444032024
613312222243523504
7642014355050164
oct101210131062000
916782610524024
104485042955264
11147a106906a73
12605293989594
13266c2628a181
14117111d20ca4
157b9ed961594
hex41441646400

4485042955264 has 165 divisors, whose sum is σ = 9567836050917. Its totient is φ = 2101391818752.

The previous prime is 4485042955189. The next prime is 4485042955303. The reversal of 4485042955264 is 4625592405844.

The square root of 4485042955264 is 2117792.

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

It can be written as a sum of positive squares in 7 ways, for example, as 459401995264 + 4025640960000 = 677792^2 + 2006400^2 .

It is a super-2 number, since 2×44850429552642 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4485042955199 and 4485042955208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19585340302 + ... + 19585340530.

Almost surely, 24485042955264 is an apocalyptic number.

4485042955264 is the 2117792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4485042955264

4485042955264 is an abundant number, since it is smaller than the sum of its proper divisors (5082793095653).

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

4485042955264 is an frugal number, since it uses more digits than its factorization.

4485042955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 58.

The spelling of 4485042955264 in words is "four trillion, four hundred eighty-five billion, forty-two million, nine hundred fifty-five thousand, two hundred sixty-four".