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2993985568 = 25746728621
BaseRepresentation
bin1011001001110100…
…1001100000100000
321201122201020002101
42302131021200200
522112430014233
61213031300144
7134123312620
oct26235114040
97648636071
102993985568
1112a7032742
126b681a654
13389389ac2
142058bc880
15127ca6c7d
hexb2749820

2993985568 has 48 divisors (see below), whose sum is σ = 6751128384. Its totient is φ = 1280344320.

The previous prime is 2993985557. The next prime is 2993985571. The reversal of 2993985568 is 8655893992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90298 + ... + 118918.

It is an arithmetic number, because the mean of its divisors is an integer number (140648508).

Almost surely, 22993985568 is an apocalyptic number.

2993985568 is a gapful number since it is divisible by the number (28) 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 2993985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375564192).

2993985568 is an abundant number, since it is smaller than the sum of its proper divisors (3757142816).

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

2993985568 is a wasteful number, since it uses less digits than its factorization.

2993985568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29105 (or 29097 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 64.

The square root of 2993985568 is about 54717.3242035829. The cubic root of 2993985568 is about 1441.2851130611.

The spelling of 2993985568 in words is "two billion, nine hundred ninety-three million, nine hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 467 934 1868 3269 3736 6538 7472 13076 14944 26152 28621 52304 57242 104608 114484 200347 228968 400694 457936 801388 915872 1602776 3205552 6411104 13366007 26732014 53464028 93562049 106928056 187124098 213856112 374248196 427712224 748496392 1496992784 2993985568