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64003434121 = 11210922112
BaseRepresentation
bin111011100110111001…
…101110011010001001
320010012111202022221001
4323212321232122021
52022034334342441
645222555415001
74424031133204
oct734671563211
9203174668831
1064003434121
11251642a7400
12104a2754461
13605ccb1a13
14315245c93b
1519e8e55731
hexee6e6e689

64003434121 has 27 divisors (see below), whose sum is σ = 71340322599. Its totient is φ = 57377905200.

The previous prime is 64003434109. The next prime is 64003434127. The reversal of 64003434121 is 12143430046.

The square root of 64003434121 is 252989.

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

It can be written as a sum of positive squares in only one way, i.e., 44610086521 + 19393347600 = 211211^2 + 139260^2 .

It is a de Polignac number, because none of the positive numbers 2k-64003434121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64003434121.

It is not an unprimeable number, because it can be changed into a prime (64003434127) 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, 303333706 + ... + 303333916.

Almost surely, 264003434121 is an apocalyptic number.

64003434121 is the 252989-th square number.

64003434121 is the 126495-th centered octagonal number.

It is an amenable number.

64003434121 is a deficient number, since it is larger than the sum of its proper divisors (7336888478).

64003434121 is an equidigital number, since it uses as much as digits as its factorization.

64003434121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 64003434121 its reverse (12143430046), we get a palindrome (76146864167).

The spelling of 64003434121 in words is "sixty-four billion, three million, four hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 11 109 121 211 1199 2321 11881 13189 22999 25531 44521 130691 252989 489731 1437601 2506891 2782879 4852789 5387041 27575801 53380679 303333811 528954001 587187469 5818494011 64003434121