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990443664 = 2432721723359
BaseRepresentation
bin111011000010001…
…111100010010000
32120000200202021200
4323002033202100
54012023144124
6242140351200
733354426600
oct7302174220
92500622250
10990443664
11469096a91
12237845500
1312a272552
1495780c00
155be44bc9
hex3b08f890

990443664 has 360 divisors, whose sum is σ = 3572449920. Its totient is φ = 254048256.

The previous prime is 990443659. The next prime is 990443689. The reversal of 990443664 is 466344099.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2758717 + ... + 2759075.

It is an arithmetic number, because the mean of its divisors is an integer number (9923472).

Almost surely, 2990443664 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 990443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

990443664 is an abundant number, since it is smaller than the sum of its proper divisors (2582006256).

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

990443664 is a wasteful number, since it uses less digits than its factorization.

990443664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 990443664 is about 31471.3149391633. The cubic root of 990443664 is about 996.8043533875.

The spelling of 990443664 in words is "nine hundred ninety million, four hundred forty-three thousand, six hundred sixty-four".