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11090691936 = 253331547757
BaseRepresentation
bin10100101010000111…
…01000011101100000
31001121221002112012000
422111003220131200
5140203204120221
65032304004000
7541560216552
oct122503503540
931557075160
1011090691936
114781452005
122196300600
13107995c50c
14772d5b4d2
1544da05e26
hex2950e8760

11090691936 has 192 divisors, whose sum is σ = 33496565760. Its totient is φ = 3566384640.

The previous prime is 11090691929. The next prime is 11090691949. The reversal of 11090691936 is 63919609011.

It is a junction number, because it is equal to n+sod(n) for n = 11090691891 and 11090691900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14650470 + ... + 14651226.

It is an arithmetic number, because the mean of its divisors is an integer number (174461280).

Almost surely, 211090691936 is an apocalyptic number.

11090691936 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 11090691936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748282880).

11090691936 is an abundant number, since it is smaller than the sum of its proper divisors (22405873824).

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

11090691936 is a wasteful number, since it uses less digits than its factorization.

11090691936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 11090691936 in words is "eleven billion, ninety million, six hundred ninety-one thousand, nine hundred thirty-six".