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998066433728 = 267134310338693
BaseRepresentation
bin11101000011000010110…
…01010010111011000000
310112102011222002002012102
432201201121102323000
5112323020001334403
62042301055245532
7132052005465410
oct16414131227300
93472158062172
10998066433728
11355306533a41
121415225198a8
137316a8119a0
1436441722640
151ae66b27b88
hexe861652ec0

998066433728 has 224 divisors, whose sum is σ = 2518554694656. Its totient is φ = 381903040512.

The previous prime is 998066433673. The next prime is 998066433731. The reversal of 998066433728 is 827334660899.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×9980664337282 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25775150 + ... + 25813842.

It is an arithmetic number, because the mean of its divisors is an integer number (11243547744).

Almost surely, 2998066433728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998066433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259277347328).

998066433728 is an abundant number, since it is smaller than the sum of its proper divisors (1520488260928).

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

998066433728 is a wasteful number, since it uses less digits than its factorization.

998066433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38871 (or 38861 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 65.

The spelling of 998066433728 in words is "nine hundred ninety-eight billion, sixty-six million, four hundred thirty-three thousand, seven hundred twenty-eight".