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11630473890048 = 2834131710723719
BaseRepresentation
bin1010100100111110111001…
…0000111100100100000000
31112011212021201111202010000
42221033232100330210000
53011023202303440143
640422544351040000
72310162661626666
oct251175620744400
945155251452100
1011630473890048
11378450233a102
12137a092210000
13664997689260
142c2cbcb80c36
15152806a5cbd3
hexa93ee43c900

11630473890048 has 720 divisors, whose sum is σ = 39915838005120. Its totient is φ = 3336482783232.

The previous prime is 11630473890043. The next prime is 11630473890073. The reversal of 11630473890048 is 84009837403611.

11630473890048 is a `hidden beast` number, since 1 + 16 + 30 + 473 + 8 + 90 + 0 + 48 = 666.

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 = 11630473889976 and 11630473890003.

It is not an unprimeable number, because it can be changed into a prime (11630473890043) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 490332333 + ... + 490356051.

It is an arithmetic number, because the mean of its divisors is an integer number (55438663896).

Almost surely, 211630473890048 is an apocalyptic number.

11630473890048 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 11630473890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957919002560).

11630473890048 is an abundant number, since it is smaller than the sum of its proper divisors (28285364115072).

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

11630473890048 is a wasteful number, since it uses less digits than its factorization.

11630473890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23884 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 11630473890048 in words is "eleven trillion, six hundred thirty billion, four hundred seventy-three million, eight hundred ninety thousand, forty-eight".