Search a number
-
+
11610115056 = 2432737571459
BaseRepresentation
bin10101101000000010…
…00100101111110000
31002222010110221202100
422310001010233300
5142234142140211
65200021020400
7560465230641
oct126401045760
932863427670
1011610115056
114a18675311
122300254700
131130455287
147c1d2b6c8
1547e409156
hex2b4044bf0

11610115056 has 120 divisors (see below), whose sum is σ = 33003410960. Its totient is φ = 3809369088.

The previous prime is 11610115019. The next prime is 11610115057. The reversal of 11610115056 is 65051101611.

It is a super-2 number, since 2×116101150562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11610115057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7956855 + ... + 7958313.

Almost surely, 211610115056 is an apocalyptic number.

11610115056 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 11610115056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501705480).

11610115056 is an abundant number, since it is smaller than the sum of its proper divisors (21393295904).

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

11610115056 is a wasteful number, since it uses less digits than its factorization.

11610115056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 11610115056 its reverse (65051101611), we get a palindrome (76661216667).

The spelling of 11610115056 in words is "eleven billion, six hundred ten million, one hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 757 876 1168 1314 1459 1514 1752 2271 2628 2918 3028 3504 4377 4542 5256 5836 6056 6813 8754 9084 10512 11672 12112 13131 13626 17508 18168 23344 26262 27252 35016 36336 52524 54504 55261 70032 105048 106507 109008 110522 165783 210096 213014 221044 319521 331566 426028 442088 497349 639042 663132 852056 884176 958563 994698 1104463 1278084 1326264 1704112 1917126 1989396 2208926 2556168 2652528 3313389 3834252 3978792 4417852 5112336 6626778 7668504 7957584 8835704 9940167 13253556 15337008 17671408 19880334 26507112 39760668 53014224 79521336 80625799 159042672 161251598 241877397 322503196 483754794 645006392 725632191 967509588 1290012784 1451264382 1935019176 2902528764 3870038352 5805057528 11610115056