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65126986816 = 265338350131
BaseRepresentation
bin111100101001110111…
…101111010001000000
320020002210220201110211
4330221313233101000
52031340002034231
645530253203504
74463623153063
oct745167572100
9206083821424
1065126986816
1125690539151
1210756a90594
1361ab9babb8
14321b76c8da
151a628deeb1
hexf29def440

65126986816 has 56 divisors (see below), whose sum is σ = 132021218304. Its totient is φ = 31865034240.

The previous prime is 65126986789. The next prime is 65126986823. The reversal of 65126986816 is 61868962156.

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 7 ways as a sum of consecutive naturals, for example, 1274071 + ... + 1324201.

Almost surely, 265126986816 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 65126986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66010609152).

65126986816 is an abundant number, since it is smaller than the sum of its proper divisors (66894231488).

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

65126986816 is a wasteful number, since it uses less digits than its factorization.

65126986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50579 (or 50569 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 65126986816 in words is "sixty-five billion, one hundred twenty-six million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 212 383 424 766 848 1532 1696 3064 3392 6128 12256 20299 24512 40598 50131 81196 100262 162392 200524 324784 401048 649568 802096 1299136 1604192 2656943 3208384 5313886 10627772 19200173 21255544 38400346 42511088 76800692 85022176 153601384 170044352 307202768 614405536 1017609169 1228811072 2035218338 4070436676 8140873352 16281746704 32563493408 65126986816