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687978642097 is a prime number
BaseRepresentation
bin10100000001011101011…
…10001111101010110001
32102202210102012010212001
422000232232033222301
542232440013021342
61244015241534001
7100463515653565
oct12005656175261
92382712163761
10687978642097
1124585200a56a
12b14027a4301
134cb50a67c06
14254269276a5
1512d68a188b7
hexa02eb8fab1

687978642097 has 2 divisors, whose sum is σ = 687978642098. Its totient is φ = 687978642096.

The previous prime is 687978642083. The next prime is 687978642101. The reversal of 687978642097 is 790246879786.

687978642097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499070189601 + 188908452496 = 706449^2 + 434636^2 .

It is a cyclic number.

It is not a de Polignac number, because 687978642097 - 27 = 687978641969 is a prime.

It is a super-2 number, since 2×6879786420972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (687978642067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343989321048 + 343989321049.

It is an arithmetic number, because the mean of its divisors is an integer number (343989321049).

Almost surely, 2687978642097 is an apocalyptic number.

It is an amenable number.

687978642097 is a deficient number, since it is larger than the sum of its proper divisors (1).

687978642097 is an equidigital number, since it uses as much as digits as its factorization.

687978642097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512096256, while the sum is 73.

The spelling of 687978642097 in words is "six hundred eighty-seven billion, nine hundred seventy-eight million, six hundred forty-two thousand, ninety-seven".