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11032985808 = 24331331127499
BaseRepresentation
bin10100100011001111…
…00000000011010000
31001110220111202021000
422101213200003100
5140043421021213
65022443102000
7540256555245
oct122147400320
931426452230
1011032985808
114751918599
12217ab11900
13106aa06690
147694195cc
15448907c73
hex2919e00d0

11032985808 has 320 divisors, whose sum is σ = 35553280000. Its totient is φ = 3252856320.

The previous prime is 11032985767. The next prime is 11032985827. The reversal of 11032985808 is 80858923011.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22109943 + ... + 22110441.

It is an arithmetic number, because the mean of its divisors is an integer number (111104000).

Almost surely, 211032985808 is an apocalyptic number.

11032985808 is a gapful number since it is divisible by the number (18) 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 11032985808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776640000).

11032985808 is an abundant number, since it is smaller than the sum of its proper divisors (24520294192).

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

11032985808 is a wasteful number, since it uses less digits than its factorization.

11032985808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11032985808 in words is "eleven billion, thirty-two million, nine hundred eighty-five thousand, eight hundred eight".