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994089479040 = 273257125919583
BaseRepresentation
bin11100111011101000101…
…10011010101110000000
310112000220210201211222100
432131310112122232000
5112241343401312130
62040402311310400
7131551315103340
oct16356426325600
93460823654870
10994089479040
11353655660029
121407b267b400
13729858cb868
143618548ad20
151acd2905c60
hexe77459ab80

994089479040 has 384 divisors, whose sum is σ = 3926419660800. Its totient is φ = 227028381696.

The previous prime is 994089479017. The next prime is 994089479041. The reversal of 994089479040 is 40974980499.

994089479040 is a `hidden beast` number, since 9 + 9 + 40 + 89 + 479 + 0 + 40 = 666.

994089479040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994089479041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50753089 + ... + 50772671.

It is an arithmetic number, because the mean of its divisors is an integer number (10225051200).

Almost surely, 2994089479040 is an apocalyptic number.

994089479040 is a gapful number since it is divisible by the number (90) 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 994089479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963209830400).

994089479040 is an abundant number, since it is smaller than the sum of its proper divisors (2932330181760).

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

994089479040 is a wasteful number, since it uses less digits than its factorization.

994089479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20874 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 994089479040 in words is "nine hundred ninety-four billion, eighty-nine million, four hundred seventy-nine thousand, forty".