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688513782341 = 71131288443143
BaseRepresentation
bin10100000010011101001…
…11101001001001000101
32102211011201011002021002
422001032213221021011
542240034012013331
61244144315503045
7100513004405330
oct12011647511105
92384151132232
10688513782341
11245aa7098330
12b1531a57a85
134cc078a4848
1425477a29617
1512d9a9c39cb
hexa04e9e9245

688513782341 has 16 divisors (see below), whose sum is σ = 886097338368. Its totient is φ = 519197655600.

The previous prime is 688513782331. The next prime is 688513782349. The reversal of 688513782341 is 143287315886.

It is a cyclic number.

It is not a de Polignac number, because 688513782341 - 26 = 688513782277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688513782349) 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 15 ways as a sum of consecutive naturals, for example, 144219185 + ... + 144223958.

It is an arithmetic number, because the mean of its divisors is an integer number (55381083648).

Almost surely, 2688513782341 is an apocalyptic number.

It is an amenable number.

688513782341 is a deficient number, since it is larger than the sum of its proper divisors (197583556027).

688513782341 is a wasteful number, since it uses less digits than its factorization.

688513782341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288443192.

The product of its digits is 7741440, while the sum is 56.

The spelling of 688513782341 in words is "six hundred eighty-eight billion, five hundred thirteen million, seven hundred eighty-two thousand, three hundred forty-one".

Divisors: 1 7 11 31 77 217 341 2387 288443143 2019102001 3172874573 8941737433 22210122011 62592162031 98359111763 688513782341