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11134666056 = 2333173439467
BaseRepresentation
bin10100101111010110…
…11000010101001000
31001201222211122100010
422113223120111020
5140300433303211
65040514311520
7542633046153
oct122753302510
931658748303
1011134666056
1147a4257458
1221a8b885a0
131085ab7bc7
14778b26c9a
154527e04a6
hex297ad8548

11134666056 has 128 divisors (see below), whose sum is σ = 29257113600. Its totient is φ = 3526986240.

The previous prime is 11134666043. The next prime is 11134666057. The reversal of 11134666056 is 65066643111.

It is not an unprimeable number, because it can be changed into a prime (11134666057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23842735 + ... + 23843201.

It is an arithmetic number, because the mean of its divisors is an integer number (228571200).

Almost surely, 211134666056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134666056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628556800).

11134666056 is an abundant number, since it is smaller than the sum of its proper divisors (18122447544).

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

11134666056 is a wasteful number, since it uses less digits than its factorization.

11134666056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 11134666056 in words is "eleven billion, one hundred thirty-four million, six hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 146 186 219 248 292 372 438 439 467 584 744 876 878 934 1317 1401 1752 1756 1868 2263 2634 2802 3512 3736 4526 5268 5604 6789 9052 10536 11208 13578 13609 14477 18104 27156 27218 28954 32047 34091 40827 43431 54312 54436 57908 64094 68182 81654 86862 96141 102273 108872 115816 128188 136364 163308 173724 192282 204546 205013 256376 272728 326616 347448 384564 409092 410026 615039 769128 818184 820052 993457 1056821 1230078 1640104 1986914 2113642 2460156 2980371 3170463 3973828 4227284 4920312 5960742 6340926 6355403 7947656 8454568 11921484 12681852 12710806 14965949 19066209 23842968 25363704 25421612 29931898 38132418 44897847 50843224 59863796 76264836 89795694 119727592 152529672 179591388 359182776 463944419 927888838 1391833257 1855777676 2783666514 3711555352 5567333028 11134666056