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990934111872 = 27323145176143
BaseRepresentation
bin11100110101110000100…
…01101001011010000000
310111201202220100120221200
432122320101221122000
5112213413113034442
62035121233021200
7131410161655215
oct16327021513200
93451686316850
10990934111872
11352286521a71
121400719b4800
13725a1c894b3
1435d6639db0c
151ab9a8c234c
hexe6b8469680

990934111872 has 192 divisors, whose sum is σ = 2944631439360. Its totient is φ = 319533373440.

The previous prime is 990934111831. The next prime is 990934111873. The reversal of 990934111872 is 278111439099.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9909341118722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990934111873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161308033 + ... + 161314175.

It is an arithmetic number, because the mean of its divisors is an integer number (15336622080).

Almost surely, 2990934111872 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 990934111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472315719680).

990934111872 is an abundant number, since it is smaller than the sum of its proper divisors (1953697327488).

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

990934111872 is a wasteful number, since it uses less digits than its factorization.

990934111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 990934111872 in words is "nine hundred ninety billion, nine hundred thirty-four million, one hundred eleven thousand, eight hundred seventy-two".