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11264388304 = 241356995177
BaseRepresentation
bin10100111110110100…
…01110110011010000
31002002000221012210211
422133122032303100
5141032140411204
65101430533504
7546066502141
oct123732166320
932060835724
1011264388304
1148604a9724
122224507294
1310a6937130
1478c053ac8
1545ddb6804
hex29f68ecd0

11264388304 has 40 divisors (see below), whose sum is σ = 23545133640. Its totient is φ = 5189756928.

The previous prime is 11264388287. The next prime is 11264388313. The reversal of 11264388304 is 40388346211.

It can be written as a sum of positive squares in 4 ways, for example, as 277155904 + 10987232400 = 16648^2 + 104820^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70764 + ... + 165940.

It is an arithmetic number, because the mean of its divisors is an integer number (588628341).

Almost surely, 211264388304 is an apocalyptic number.

It is an amenable number.

11264388304 is an abundant number, since it is smaller than the sum of its proper divisors (12280745336).

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

11264388304 is a wasteful number, since it uses less digits than its factorization.

11264388304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95767 (or 95761 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 11264388304 in words is "eleven billion, two hundred sixty-four million, three hundred eighty-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 569 1138 2276 4552 7397 9104 14794 29588 59176 95177 118352 190354 380708 761416 1237301 1522832 2474602 4949204 9898408 19796816 54155713 108311426 216622852 433245704 704024269 866491408 1408048538 2816097076 5632194152 11264388304