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10505033916048 = 2433731941119087
BaseRepresentation
bin1001100011011110010011…
…0100001001111010010000
31101012021022212122101201000
42120313210310021322100
52334103302140303143
634201540154342000
72132651350660020
oct230674464117220
941167285571630
1010505033916048
113390183864111
121217b4272a900
135b280b17b439
14284636b21a80
151333d797bbd3
hex98de4d09e90

10505033916048 has 320 divisors, whose sum is σ = 35610703626240. Its totient is φ = 2901506572800.

The previous prime is 10505033916031. The next prime is 10505033916049. The reversal of 10505033916048 is 84061933050501.

10505033916048 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 0 + 3 + 39 + 1 + 604 + 8 = 666.

It is a super-2 number, since 2×105050339160482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505033915994 and 10505033916012.

It is not an unprimeable number, because it can be changed into a prime (10505033916049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88153561 + ... + 88272647.

It is an arithmetic number, because the mean of its divisors is an integer number (111283448832).

Almost surely, 210505033916048 is an apocalyptic number.

10505033916048 is a gapful number since it is divisible by the number (18) 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 10505033916048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805351813120).

10505033916048 is an abundant number, since it is smaller than the sum of its proper divisors (25105669710192).

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

10505033916048 is a wasteful number, since it uses less digits than its factorization.

10505033916048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120083 (or 120071 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 10505033916048 its reverse (84061933050501), we get a palindrome (94566966966549).

The spelling of 10505033916048 in words is "ten trillion, five hundred five billion, thirty-three million, nine hundred sixteen thousand, forty-eight".