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983385664 = 26113135977
BaseRepresentation
bin111010100111010…
…100011001000000
32112112102011112021
4322213110121000
54003221320124
6241325211224
733240432412
oct7247243100
92475364467
10983385664
11465106228
12235400b14
13128970b11
14948649b2
155b4ed7e4
hex3a9d4640

983385664 has 28 divisors (see below), whose sum is σ = 1968689484. Its totient is φ = 487337984.

The previous prime is 983385661. The next prime is 983385673. The reversal of 983385664 is 466583389.

It can be written as a sum of positive squares in 2 ways, for example, as 399680064 + 583705600 = 19992^2 + 24160^2 .

It is a cake number, because a cake can be divided into 983385664 parts by 1807 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (983385661) 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 3 ways as a sum of consecutive naturals, for example, 60757 + ... + 75220.

Almost surely, 2983385664 is an apocalyptic number.

It is an amenable number.

983385664 is an abundant number, since it is smaller than the sum of its proper divisors (985303820).

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

983385664 is a wasteful number, since it uses less digits than its factorization.

983385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136102 (or 136092 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The square root of 983385664 is about 31358.9805956763. The cubic root of 983385664 is about 994.4309310450.

The spelling of 983385664 in words is "nine hundred eighty-three million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 7232 135977 271954 543908 1087816 2175632 4351264 8702528 15365401 30730802 61461604 122923208 245846416 491692832 983385664