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11283607608 = 233713171272393
BaseRepresentation
bin10101000001000111…
…00011000000111000
31002010101002122201220
422200203203000320
5141102100420413
65103354512040
7546422040120
oct124043430070
932111078656
1011283607608
114870336449
12222aa35620
1310aa9060c0
14790817c80
15460911223
hex2a08e3038

11283607608 has 256 divisors, whose sum is σ = 37066014720. Its totient is φ = 2777628672.

The previous prime is 11283607603. The next prime is 11283607637. The reversal of 11283607608 is 80670638211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11283607608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283607603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4714060 + ... + 4716452.

It is an arithmetic number, because the mean of its divisors is an integer number (144789120).

Almost surely, 211283607608 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 11283607608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

11283607608 is an abundant number, since it is smaller than the sum of its proper divisors (25782407112).

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

11283607608 is a wasteful number, since it uses less digits than its factorization.

11283607608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 11283607608 in words is "eleven billion, two hundred eighty-three million, six hundred seven thousand, six hundred eight".