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11069197776 = 2433713312293
BaseRepresentation
bin10100100111100011…
…01000110111010000
31001120102122111202000
422103301220313100
5140132203312101
65030215154000
7541206425430
oct122361506720
931512574660
1011069197776
11477030113a
12218b075900
131075374c90
147701642c0
1544bbac486
hex293c68dd0

11069197776 has 480 divisors, whose sum is σ = 40544904960. Its totient is φ = 2815534080.

The previous prime is 11069197723. The next prime is 11069197823. The reversal of 11069197776 is 67779196011.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37778686 + ... + 37778978.

It is an arithmetic number, because the mean of its divisors is an integer number (84468552).

Almost surely, 211069197776 is an apocalyptic number.

11069197776 is a gapful number since it is divisible by the number (16) 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 11069197776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272452480).

11069197776 is an abundant number, since it is smaller than the sum of its proper divisors (29475707184).

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

11069197776 is a wasteful number, since it uses less digits than its factorization.

11069197776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 11069197776 in words is "eleven billion, sixty-nine million, one hundred ninety-seven thousand, seven hundred seventy-six".