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2988471168 = 273222311633
BaseRepresentation
bin1011001000100000…
…0111001110000000
321201021100001202100
42302020013032000
522110022034133
61212313150400
7134025404634
oct26210071600
97637301670
102988471168
1112a3a06691
126b49bb400
133881a8b47
14204c84dc4
15127567e13
hexb2207380

2988471168 has 96 divisors (see below), whose sum is σ = 8638943040. Its totient is φ = 991604736.

The previous prime is 2988471139. The next prime is 2988471169. The reversal of 2988471168 is 8611748892.

2988471168 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 471 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988471169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251080 + ... + 262712.

It is an arithmetic number, because the mean of its divisors is an integer number (89988990).

Almost surely, 22988471168 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 2988471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319471520).

2988471168 is an abundant number, since it is smaller than the sum of its proper divisors (5650471872).

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

2988471168 is a wasteful number, since it uses less digits than its factorization.

2988471168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 11861 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 2988471168 is about 54666.9110888845. The cubic root of 2988471168 is about 1440.3997038579.

The spelling of 2988471168 in words is "two billion, nine hundred eighty-eight million, four hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 288 384 446 576 669 892 1152 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 11633 14272 16056 21408 23266 28544 32112 34899 42816 46532 64224 69798 85632 93064 104697 128448 139596 186128 209394 256896 279192 372256 418788 558384 744512 837576 1116768 1489024 1675152 2233536 2594159 3350304 4467072 5188318 6700608 7782477 10376636 13401216 15564954 20753272 23347431 31129908 41506544 46694862 62259816 83013088 93389724 124519632 166026176 186779448 249039264 332052352 373558896 498078528 747117792 996157056 1494235584 2988471168