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643903534096 = 242006092
BaseRepresentation
bin10010101111010111010…
…01000011010000010000
32021120000202002200002121
421113223221003100100
541022203301042341
61211445531224024
764343346506464
oct11275351032020
92246022080077
10643903534096
11229094838579
12a4961ba8014
1348948657454
14232450544a4
1511b393c24d1
hex95eba43410

643903534096 has 15 divisors (see below), whose sum is σ = 1247569316221. Its totient is φ = 321950162176.

The previous prime is 643903534037. The next prime is 643903534097. The reversal of 643903534096 is 690435309346.

The square root of 643903534096 is 802436.

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., 3391431696 + 640512102400 = 58236^2 + 800320^2 .

It is a super-2 number, since 2×6439035340962 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (643903534097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3109440 + ... + 3310048.

Almost surely, 2643903534096 is an apocalyptic number.

643903534096 is the 802436-th square number.

It is an amenable number.

643903534096 is a deficient number, since it is larger than the sum of its proper divisors (603665782125).

643903534096 is an frugal number, since it uses more digits than its factorization.

643903534096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401226 (or 200611 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 52.

The spelling of 643903534096 in words is "six hundred forty-three billion, nine hundred three million, five hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 200609 401218 802436 1604872 3209744 40243970881 80487941762 160975883524 321951767048 643903534096