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11473344976896 = 211331123820117
BaseRepresentation
bin1010011011110101100010…
…1001101101100000000000
31111121211201010201220212000
42212331120221231200000
53000434402303230041
640222440521104000
72262631120123245
oct246753051554000
944554633656760
1011473344976896
113723900147aa0
121353740028000
13652c161a8cba
142b94546b75cc
1514d6ac19cbb6
hexa6f58a6d800

11473344976896 has 384 divisors, whose sum is σ = 38688574579200. Its totient is φ = 3325603184640.

The previous prime is 11473344976867. The next prime is 11473344976909. The reversal of 11473344976896 is 69867944337411.

It is a happy number.

11473344976896 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 33 + 449 + 7 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 13579830 + ... + 14399946.

It is an arithmetic number, because the mean of its divisors is an integer number (100751496300).

Almost surely, 211473344976896 is an apocalyptic number.

11473344976896 is a gapful number since it is divisible by the number (16) 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 11473344976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344287289600).

11473344976896 is an abundant number, since it is smaller than the sum of its proper divisors (27215229602304).

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

11473344976896 is a wasteful number, since it uses less digits than its factorization.

11473344976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820182 (or 820156 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 11473344976896 in words is "eleven trillion, four hundred seventy-three billion, three hundred forty-four million, nine hundred seventy-six thousand, eight hundred ninety-six".