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126604691657 is a prime number
BaseRepresentation
bin111010111101000111…
…0100100100011001001
3110002210022001201011222
41311322032210203021
54033241300113112
6134054505531425
712101245060133
oct1657216444311
9402708051158
10126604691657
1149769058784
12206537a3b75
13bc28632342
1461b05a0053
15345ec36372
hex1d7a3a48c9

126604691657 has 2 divisors, whose sum is σ = 126604691658. Its totient is φ = 126604691656.

The previous prime is 126604691639. The next prime is 126604691677. The reversal of 126604691657 is 756196406621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121676090041 + 4928601616 = 348821^2 + 70204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126604691657 is a prime.

It is a super-4 number, since 4×1266046916574 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126604691599 and 126604691608.

It is not a weakly prime, because it can be changed into another prime (126604691677) by changing a digit.

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 as a sum of consecutive naturals, namely, 63302345828 + 63302345829.

It is an arithmetic number, because the mean of its divisors is an integer number (63302345829).

Almost surely, 2126604691657 is an apocalyptic number.

It is an amenable number.

126604691657 is a deficient number, since it is larger than the sum of its proper divisors (1).

126604691657 is an equidigital number, since it uses as much as digits as its factorization.

126604691657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 126604691657 in words is "one hundred twenty-six billion, six hundred four million, six hundred ninety-one thousand, six hundred fifty-seven".