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994137984 = 27327434761
BaseRepresentation
bin111011010000010…
…101011110000000
32120021122102221100
4323100111132000
54013444403414
6242351454400
733431014320
oct7320253600
92507572840
10994137984
1147018a644
12238b27400
1312ac66c38
1496063280
155c424609
hex3b415780

994137984 has 384 divisors, whose sum is σ = 3472634880. Its totient is φ = 267079680.

The previous prime is 994137979. The next prime is 994138003. The reversal of 994137984 is 489731499.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 994137984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16297314 + ... + 16297374.

It is an arithmetic number, because the mean of its divisors is an integer number (9043320).

Almost surely, 2994137984 is an apocalyptic number.

994137984 is a gapful number since it is divisible by the number (94) 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 994137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736317440).

994137984 is an abundant number, since it is smaller than the sum of its proper divisors (2478496896).

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

994137984 is a wasteful number, since it uses less digits than its factorization.

994137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 994137984 is about 31529.9537582915. The cubic root of 994137984 is about 998.0421640466.

The spelling of 994137984 in words is "nine hundred ninety-four million, one hundred thirty-seven thousand, nine hundred eighty-four".