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11366498304 = 2163272753
BaseRepresentation
bin10101001010111111…
…10000000000000000
31002100011001221101200
422211133300000000
5141234310421204
65115515301200
7551446433010
oct124537600000
932304057350
1011366498304
114903101457
12225274a800
1310c1b39155
1479b833c40
15467d36539
hex2a57f0000

11366498304 has 204 divisors, whose sum is σ = 37540831536. Its totient is φ = 3246391296.

The previous prime is 11366498303. The next prime is 11366498369. The reversal of 11366498304 is 40389466311.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11366498304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366498303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4127392 + ... + 4130144.

It is an arithmetic number, because the mean of its divisors is an integer number (184023684).

Almost surely, 211366498304 is an apocalyptic number.

11366498304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11366498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770415768).

11366498304 is an abundant number, since it is smaller than the sum of its proper divisors (26174333232).

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

11366498304 is an frugal number, since it uses more digits than its factorization.

11366498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11366498304 in words is "eleven billion, three hundred sixty-six million, four hundred ninety-eight thousand, three hundred four".