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483788480509440 = 29345171922316529
BaseRepresentation
bin110111000000000001100100…
…0100001101111011000000000
32100102221201122000120101220000
41232000003020201233120000
51001402342302002300230
64432533205412520000
7203621364355054401
oct15600031041573000
92312851560511800
10483788480509440
111301715a69a9477
1246315547320000
13179c409a444512
1487676b759d9a8
153ade6ae0e5b60
hex1b800c886f600

483788480509440 has 2400 divisors, whose sum is σ = 2020662726540480. Its totient is φ = 110022824558592.

The previous prime is 483788480509339. The next prime is 483788480509469. The reversal of 483788480509440 is 44905084887384.

483788480509440 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 8 + 8 + 480 + 50 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×4837884805094402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 29269063096 + ... + 29269079624.

Almost surely, 2483788480509440 is an apocalyptic number.

483788480509440 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 483788480509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010331363270240).

483788480509440 is an abundant number, since it is smaller than the sum of its proper divisors (1536874246031040).

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

483788480509440 is a wasteful number, since it uses less digits than its factorization.

483788480509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 483788480509440 in words is "four hundred eighty-three trillion, seven hundred eighty-eight billion, four hundred eighty million, five hundred nine thousand, four hundred forty".