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126766957417 is a prime number
BaseRepresentation
bin111011000001111100…
…1100100001101101001
3110010012121101122221221
41312003321210031221
54034104320114132
6134122543502041
712105255234142
oct1660371441551
9403177348857
10126766957417
1149841708411
1220699bb7921
13bc53137199
1461c7d5cac9
15346e0d9e97
hex1d83e64369

126766957417 has 2 divisors, whose sum is σ = 126766957418. Its totient is φ = 126766957416.

The previous prime is 126766957327. The next prime is 126766957463. The reversal of 126766957417 is 714759667621.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122595218496 + 4171738921 = 350136^2 + 64589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126766957417 is a prime.

It is a super-2 number, since 2×1267669574172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126766957487) 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, 63383478708 + 63383478709.

It is an arithmetic number, because the mean of its divisors is an integer number (63383478709).

Almost surely, 2126766957417 is an apocalyptic number.

It is an amenable number.

126766957417 is a deficient number, since it is larger than the sum of its proper divisors (1).

126766957417 is an equidigital number, since it uses as much as digits as its factorization.

126766957417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26671680, while the sum is 61.

The spelling of 126766957417 in words is "one hundred twenty-six billion, seven hundred sixty-six million, nine hundred fifty-seven thousand, four hundred seventeen".