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29104018801 = 11213211932
BaseRepresentation
bin11011000110101111…
…000001010101110001
32210010022100100020021
4123012233001111301
5434101112100201
621211544043441
72050140035524
oct330657012561
983108310207
1029104018801
1111385507100
125782a63581
13298a877a00
1415a1456bbb
15b55142ea1
hex6c6bc1571

29104018801 has 27 divisors (see below), whose sum is σ = 34669518177. Its totient is φ = 24402480960.

The previous prime is 29104018793. The next prime is 29104018817. The reversal of 29104018801 is 10881040192.

The square root of 29104018801 is 170599.

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 3943714401 + 25160304400 = 62799^2 + 158620^2 .

It is not a de Polignac number, because 29104018801 - 23 = 29104018793 is a prime.

It is a super-2 number, since 2×291040188012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29104018861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24395061 + ... + 24396253.

Almost surely, 229104018801 is an apocalyptic number.

29104018801 is the 170599-th square number.

29104018801 is the 85300-th centered octagonal number.

It is an amenable number.

29104018801 is a deficient number, since it is larger than the sum of its proper divisors (5565499376).

29104018801 is an equidigital number, since it uses as much as digits as its factorization.

29104018801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

Adding to 29104018801 its reverse (10881040192), we get a palindrome (39985058993).

The spelling of 29104018801 in words is "twenty-nine billion, one hundred four million, eighteen thousand, eight hundred one".

Divisors: 1 11 13 121 143 169 1193 1573 1859 13123 15509 20449 144353 170599 201617 1423249 1876589 2217787 15655739 18502237 24395657 172213129 203524607 240529081 2238770677 2645819891 29104018801