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643306660096 = 28501292
BaseRepresentation
bin10010101110010000001…
…00001010000100000000
32021111111010222022220011
421113020010022010000
541014443001110341
61211310410154304
764322511250162
oct11271004120400
92244433868804
10643306660096
11228908925281
12a4816122994
1348881ab4679
14231c9a82932
1511b01cc0b81
hex95c810a100

643306660096 has 27 divisors (see below), whose sum is σ = 1284126019981. Its totient is φ = 321646913536.

The previous prime is 643306660039. The next prime is 643306660103. The reversal of 643306660096 is 690066603346.

The square root of 643306660096 is 802064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 622937661696 + 20368998400 = 789264^2 + 142720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12807960 + ... + 12858088.

Almost surely, 2643306660096 is an apocalyptic number.

643306660096 is the 802064-th square number.

It is an amenable number.

643306660096 is a deficient number, since it is larger than the sum of its proper divisors (640819359885).

643306660096 is an frugal number, since it uses more digits than its factorization.

643306660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100274 (or 50131 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 49.

Multiplying 643306660096 by its sum of digits (49), we get a square (31522026344704 = 56144482).

The spelling of 643306660096 in words is "six hundred forty-three billion, three hundred six million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 50129 100258 200516 401032 802064 1604128 3208256 6416512 12833024 2512916641 5025833282 10051666564 20103333128 40206666256 80413332512 160826665024 321653330048 643306660096