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10530355440000 = 27354113988771
BaseRepresentation
bin1001100100111100101000…
…0110000110100110000000
31101021200200120120002110110
42121033022012012212000
52340012131443040000
634221324542431320
72134536011245014
oct231171206064600
941250616502413
1010530355440000
11339a998135910
121220a2a892540
135b50151aa6c6
14285959a82544
15133dba9b0850
hex993ca186980

10530355440000 has 320 divisors, whose sum is σ = 38130426607680. Its totient is φ = 2552812800000.

The previous prime is 10530355439917. The next prime is 10530355440023. The reversal of 10530355440000 is 4455303501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105303554400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10530355440000.

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 39 ways as a sum of consecutive naturals, for example, 645615 + ... + 4634385.

It is an arithmetic number, because the mean of its divisors is an integer number (119157583149).

Almost surely, 210530355440000 is an apocalyptic number.

10530355440000 is a gapful number since it is divisible by the number (10) 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 10530355440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065213303840).

10530355440000 is an abundant number, since it is smaller than the sum of its proper divisors (27600071167680).

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

10530355440000 is an equidigital number, since it uses as much as digits as its factorization.

10530355440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988819 (or 3988792 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10530355440000 in words is "ten trillion, five hundred thirty billion, three hundred fifty-five million, four hundred forty thousand".