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4484974001760 = 253257449990953
BaseRepresentation
bin100000101000011110101…
…0010000011111001100000
3120212202111112211121121100
41001100331102003321200
51041440211321024020
613312211341554400
7642012560002440
oct101207522037140
916782445747540
104484974001760
11147a0809a01aa
12605274875a00
13266c14bc6a95
14117106ad2120
157b9e7890a90
hex4143d483e60

4484974001760 has 288 divisors, whose sum is σ = 17530372641600. Its totient is φ = 1022852726784.

The previous prime is 4484974001719. The next prime is 4484974001797. The reversal of 4484974001760 is 671004794844.

4484974001760 is a `hidden beast` number, since 4 + 4 + 84 + 97 + 400 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44849740017602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4484974001697 and 4484974001706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4030444 + ... + 5021396.

It is an arithmetic number, because the mean of its divisors is an integer number (60869349450).

Almost surely, 24484974001760 is an apocalyptic number.

4484974001760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484974001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765186320800).

4484974001760 is an abundant number, since it is smaller than the sum of its proper divisors (13045398639840).

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

4484974001760 is a wasteful number, since it uses less digits than its factorization.

4484974001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991430 (or 991419 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4484974001760 in words is "four trillion, four hundred eighty-four billion, nine hundred seventy-four million, one thousand, seven hundred sixty".