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10505151445056 = 26354714330443
BaseRepresentation
bin1001100011011110101111…
…0100011111100001000000
31101012021122001210111012020
42120313223310133201000
52334104022232220211
634201555553401440
72132654305650132
oct230675364374100
941167561714166
1010505151445056
113390234138424
121217b75b69280
135b282961b728
14284648597052
151333e2e45306
hex98debd1f840

10505151445056 has 28 divisors (see below), whose sum is σ = 27794879865552. Its totient is φ = 3501717148288.

The previous prime is 10505151444959. The next prime is 10505151445081. The reversal of 10505151445056 is 65054415150501.

10505151445056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105051514450562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505151444999 and 10505151445017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27357165030 + ... + 27357165413.

Almost surely, 210505151445056 is an apocalyptic number.

10505151445056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10505151445056 is an abundant number, since it is smaller than the sum of its proper divisors (17289728420496).

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

10505151445056 is an equidigital number, since it uses as much as digits as its factorization.

10505151445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54714330458 (or 54714330448 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

Adding to 10505151445056 its reverse (65054415150501), we get a palindrome (75559566595557).

The spelling of 10505151445056 in words is "ten trillion, five hundred five billion, one hundred fifty-one million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 54714330443 109428660886 164142991329 218857321772 328285982658 437714643544 656571965316 875429287088 1313143930632 1750858574176 2626287861264 3501717148352 5252575722528 10505151445056