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11245471030080 = 263557192151379
BaseRepresentation
bin1010001110100100101001…
…0011100101101101000000
31110211001112012201000200000
42203221022103211231000
52433221211040430310
635530033103400000
72240313153414210
oct243511223455500
943731465630600
1011245471030080
1136461a5256011
1213175455b3000
1363759c105291
142ac3d869a240
151477c1ab14c0
hexa3a4a4e5b40

11245471030080 has 2016 divisors, whose sum is σ = 48831324272640. Its totient is φ = 2412600422400.

The previous prime is 11245471030051. The next prime is 11245471030097. The reversal of 11245471030080 is 8003017454211.

11245471030080 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 547 + 1 + 0 + 30 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 29671427331 + ... + 29671427709.

It is an arithmetic number, because the mean of its divisors is an integer number (24221887040).

Almost surely, 211245471030080 is an apocalyptic number.

11245471030080 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 11245471030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415662136320).

11245471030080 is an abundant number, since it is smaller than the sum of its proper divisors (37585853242560).

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

11245471030080 is a wasteful number, since it uses less digits than its factorization.

11245471030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 11245471030080 its reverse (8003017454211), we get a palindrome (19248488484291).

The spelling of 11245471030080 in words is "eleven trillion, two hundred forty-five billion, four hundred seventy-one million, thirty thousand, eighty".