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11330415304 = 23132912373037
BaseRepresentation
bin10101000110101100…
…00110101011001000
31002020122011201211021
422203112012223020
5141201041242204
65112150042224
7550530640525
oct124326065310
932218151737
1011330415304
1148947a679a
122242649374
1310b7514470
14796b2014c
15464aaa154
hex2a3586ac8

11330415304 has 64 divisors (see below), whose sum is σ = 23694577200. Its totient is φ = 5043354624.

The previous prime is 11330415269. The next prime is 11330415329. The reversal of 11330415304 is 40351403311.

It can be written as a sum of positive squares in 8 ways, for example, as 7258699204 + 4071716100 = 85198^2 + 63810^2 .

It is a super-2 number, since 2×113304153042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729274 + ... + 3732310.

Almost surely, 211330415304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330415304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847288600).

11330415304 is an abundant number, since it is smaller than the sum of its proper divisors (12364161896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11330415304 is a wasteful number, since it uses less digits than its factorization.

11330415304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 11330415304 its reverse (40351403311), we get a palindrome (51681818615).

The spelling of 11330415304 in words is "eleven billion, three hundred thirty million, four hundred fifteen thousand, three hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1237 1508 2474 3016 3037 4948 6074 9896 12148 16081 24296 32162 35873 39481 64324 71746 78962 88073 128648 143492 157924 176146 286984 315848 352292 466349 704584 932698 1144949 1865396 2289898 3730792 3756769 4579796 7513538 9159592 15027076 30054152 48837997 97675994 108946301 195351988 217892602 390703976 435785204 871570408 1416301913 2832603826 5665207652 11330415304