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11264460504 = 2331142668411
BaseRepresentation
bin10100111110110101…
…00000011011011000
31002002001001212211220
422133122200123120
5141032200214004
65101432252040
7546100222503
oct123732403330
932061055756
1011264460504
1148605489a0
122224541020
1310a6960c5b
1478c07213a
1545ddccdd9
hex29f6a06d8

11264460504 has 32 divisors (see below), whose sum is σ = 30721256640. Its totient is φ = 3413472800.

The previous prime is 11264460469. The next prime is 11264460521. The reversal of 11264460504 is 40506446211.

11264460504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21333942 + ... + 21334469.

It is an arithmetic number, because the mean of its divisors is an integer number (960039270).

Almost surely, 211264460504 is an apocalyptic number.

It is an amenable number.

11264460504 is an abundant number, since it is smaller than the sum of its proper divisors (19456796136).

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

11264460504 is a wasteful number, since it uses less digits than its factorization.

11264460504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42668431 (or 42668427 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 11264460504 in words is "eleven billion, two hundred sixty-four million, four hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 42668411 85336822 128005233 170673644 256010466 341347288 469352521 512020932 938705042 1024041864 1408057563 1877410084 2816115126 3754820168 5632230252 11264460504