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2996446992 = 24371123101349
BaseRepresentation
bin1011001010011010…
…0010011100010000
321201211100021112020
42302212202130100
522114042300432
61213200131440
7134153244030
oct26246423420
97654307466
102996446992
1112a8463a80
126b7606b80
13389a3c276
14205d5d8c0
151280e122c
hexb29a2710

2996446992 has 320 divisors, whose sum is σ = 10199347200. Its totient is φ = 734976000.

The previous prime is 2996446931. The next prime is 2996446997.

2996446992 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2996446997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8585634 + ... + 8585982.

It is an arithmetic number, because the mean of its divisors is an integer number (31872960).

Almost surely, 22996446992 is an apocalyptic number.

2996446992 is a gapful number since it is divisible by the number (22) 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 2996446992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

2996446992 is an abundant number, since it is smaller than the sum of its proper divisors (7202900208).

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

2996446992 is a wasteful number, since it uses less digits than its factorization.

2996446992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The square root of 2996446992 is about 54739.8117643822. The cubic root of 2996446992 is about 1441.6799760222.

The spelling of 2996446992 in words is "two billion, nine hundred ninety-six million, four hundred forty-six thousand, nine hundred ninety-two".