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11039793696000 = 28335379161741
BaseRepresentation
bin1010000010100110011011…
…1110110100110100000000
31110002101122012111212221000
42200221212332310310000
52421333444141233000
635251340004332000
72216412244052616
oct240514676646400
943071565455830
1011039793696000
113576a4a809783
1212a37046a4000
13621081822b34
142a248659d6b6
15142284ede000
hexa0a66fb4d00

11039793696000 has 576 divisors, whose sum is σ = 41258960870400. Its totient is φ = 2906661888000.

The previous prime is 11039793695999. The next prime is 11039793696059. The reversal of 11039793696000 is 69639793011.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68175130 + ... + 68336870.

It is an arithmetic number, because the mean of its divisors is an integer number (71630140400).

Almost surely, 211039793696000 is an apocalyptic number.

11039793696000 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 11039793696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629480435200).

11039793696000 is an abundant number, since it is smaller than the sum of its proper divisors (30219167174400).

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

11039793696000 is an equidigital number, since it uses as much as digits as its factorization.

11039793696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161860 (or 161830 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 11039793696000 in words is "eleven trillion, thirty-nine billion, seven hundred ninety-three million, six hundred ninety-six thousand".