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2993616990 = 2325713231907
BaseRepresentation
bin1011001001101110…
…1111100001011110
321201122000111111100
42302123233201132
522112331220430
61213015333530
7134120216220
oct26233574136
97648014440
102993616990
1112a6900831
126b66812a6
1338928b100
14205824410
15127c32960
hexb26ef85e

2993616990 has 288 divisors, whose sum is σ = 9953888256. Its totient is φ = 610571520.

The previous prime is 2993616973. The next prime is 2993617001. The reversal of 2993616990 is 996163992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3300117 + ... + 3301023.

It is an arithmetic number, because the mean of its divisors is an integer number (34562112).

Almost surely, 22993616990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993616990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976944128).

2993616990 is an abundant number, since it is smaller than the sum of its proper divisors (6960271266).

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

2993616990 is a wasteful number, since it uses less digits than its factorization.

2993616990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 2993616990 is about 54713.9560806930. The cubic root of 2993616990 is about 1441.2259669527.

The spelling of 2993616990 in words is "two billion, nine hundred ninety-three million, six hundred sixteen thousand, nine hundred ninety".