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13082743150848 = 283371931835531
BaseRepresentation
bin1011111001100001000001…
…0000100001100100000000
31201022200211212100002211000
42332120100100201210000
53203321424221311343
643454043525252000
72520124366646340
oct276302020414400
951280755302730
1013082743150848
1141943a6495698
121573634264000
1373b90b2046c7
143332cb226d20
1517a4a38b0ed3
hexbe610421900

13082743150848 has 1152 divisors, whose sum is σ = 48630900326400. Its totient is φ = 3385060761600.

The previous prime is 13082743150811. The next prime is 13082743150853. The reversal of 13082743150848 is 84805134728031.

13082743150848 is a `hidden beast` number, since 1 + 3 + 0 + 82 + 7 + 431 + 50 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13082743150794 and 13082743150803.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2365345843 + ... + 2365351373.

It is an arithmetic number, because the mean of its divisors is an integer number (42214323200).

Almost surely, 213082743150848 is an apocalyptic number.

13082743150848 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 13082743150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24315450163200).

13082743150848 is an abundant number, since it is smaller than the sum of its proper divisors (35548157175552).

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

13082743150848 is a wasteful number, since it uses less digits than its factorization.

13082743150848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

Adding to 13082743150848 its reverse (84805134728031), we get a palindrome (97887877878879).

The spelling of 13082743150848 in words is "thirteen trillion, eighty-two billion, seven hundred forty-three million, one hundred fifty thousand, eight hundred forty-eight".