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11328353280 = 210335192227
BaseRepresentation
bin10101000110011100…
…01111010000000000
31002020111021222021000
422203032033100000
5141200024301110
65112033532000
7550504262016
oct124316172000
932214258230
1011328353280
114893618542
122241a14000
1310b6c71a2a
147967448b6
154647ee1c0
hex2a338f400

11328353280 has 528 divisors, whose sum is σ = 42676511040. Its totient is φ = 2849292288.

The previous prime is 11328353279. The next prime is 11328353321. The reversal of 11328353280 is 8235382311.

It is a happy number.

11328353280 is a `hidden beast` number, since 1 + 1 + 3 + 28 + 353 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49904527 + ... + 49904753.

Almost surely, 211328353280 is an apocalyptic number.

11328353280 is a gapful number since it is divisible by the number (10) 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 11328353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338255520).

11328353280 is an abundant number, since it is smaller than the sum of its proper divisors (31348157760).

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

11328353280 is a wasteful number, since it uses less digits than its factorization.

11328353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11328353280 in words is "eleven billion, three hundred twenty-eight million, three hundred fifty-three thousand, two hundred eighty".