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11110527616 = 271727718433
BaseRepresentation
bin10100101100011110…
…10011001010000000
31001200022102021121211
422112033103022000
5140223243340431
65034253055504
7542220632536
oct122617231200
931608367554
1011110527616
11479166a931
1221a0a87594
131080ab5bc6
14775842156
154506232b1
hex2963d3280

11110527616 has 64 divisors (see below), whose sum is σ = 23522152680. Its totient is φ = 5209325568.

The previous prime is 11110527613. The next prime is 11110527653. The reversal of 11110527616 is 61672501111.

It can be written as a sum of positive squares in 4 ways, for example, as 9486760000 + 1623767616 = 97400^2 + 40296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11110527613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593536 + ... + 611968.

Almost surely, 211110527616 is an apocalyptic number.

11110527616 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 11110527616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761076340).

11110527616 is an abundant number, since it is smaller than the sum of its proper divisors (12411625064).

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

11110527616 is a wasteful number, since it uses less digits than its factorization.

11110527616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18741 (or 18729 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 11110527616 in words is "eleven billion, one hundred ten million, five hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 277 544 554 1088 1108 2176 2216 4432 4709 8864 9418 17728 18433 18836 35456 36866 37672 73732 75344 147464 150688 294928 301376 313361 589856 602752 626722 1179712 1253444 2359424 2506888 5013776 5105941 10027552 10211882 20055104 20423764 40110208 40847528 81695056 86800997 163390112 173601994 326780224 347203988 653560448 694407976 1388815952 2777631904 5555263808 11110527616