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129636919844041 = 5092223692
BaseRepresentation
bin11101011110011101110010…
…100011101001110011001001
3122000000011112211122022122011
4131132131302203221303021
5113442432402440002131
61135414213454055521
736206646503252641
oct3536356243516311
9560004484568564
10129636919844041
1138340788696135
12126586061aa5a1
13574492ab2b80c
142402663497521
15eec24905d0b1
hex75e7728e9cc9

129636919844041 has 9 divisors (see below), whose sum is σ = 129897916696821. Its totient is φ = 129376446417024.

The previous prime is 129636919844023. The next prime is 129636919844051. The reversal of 129636919844041 is 140448919636921.

The square root of 129636919844041 is 11385821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11194183584441 + 118442736259600 = 3345771^2 + 10883140^2 .

It is not a de Polignac number, because 129636919844041 - 211 = 129636919841993 is a prime.

It is a super-2 number, since 2×1296369198440412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129636919844051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5795371705 + ... + 5795394073.

Almost surely, 2129636919844041 is an apocalyptic number.

129636919844041 is the 11385821-st square number.

129636919844041 is the 5692911-st centered octagonal number.

It is an amenable number.

129636919844041 is a deficient number, since it is larger than the sum of its proper divisors (260996852780).

129636919844041 is an frugal number, since it uses more digits than its factorization.

129636919844041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45756 (or 22878 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 67.

The spelling of 129636919844041 in words is "one hundred twenty-nine trillion, six hundred thirty-six billion, nine hundred nineteen million, eight hundred forty-four thousand, forty-one".

Divisors: 1 509 22369 259081 11385821 500372161 5795382889 254689429949 129636919844041