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994434673680 = 2437572343821
BaseRepresentation
bin11100111100010001110…
…11001110110000010000
310112001210212021120000000
432132020323032300100
5112243100234024210
62040500442130000
7131563006154610
oct16361073166020
93461725246000
10994434673680
113538124a2958
1214088a1b0900
1372a0c291746
14361b9266a40
151ad02d90ac0
hexe788ecec10

994434673680 has 1280 divisors, whose sum is σ = 4236551700480. Its totient is φ = 212101908480.

The previous prime is 994434673613. The next prime is 994434673681. The reversal of 994434673680 is 86376434499.

994434673680 is a `hidden beast` number, since 9 + 9 + 443 + 46 + 73 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (994434673681) 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 255 ways as a sum of consecutive naturals, for example, 1211247670 + ... + 1211248490.

It is an arithmetic number, because the mean of its divisors is an integer number (3309806016).

Almost surely, 2994434673680 is an apocalyptic number.

994434673680 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 994434673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118275850240).

994434673680 is an abundant number, since it is smaller than the sum of its proper divisors (3242117026800).

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

994434673680 is a wasteful number, since it uses less digits than its factorization.

994434673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 994434673680 in words is "nine hundred ninety-four billion, four hundred thirty-four million, six hundred seventy-three thousand, six hundred eighty".