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11130663516 = 22372347122579
BaseRepresentation
bin10100101110111000…
…00111001001011100
31001201201022021212220
422113130013021130
5140243422213031
65040252425340
7542554036020
oct122734071134
931651267786
1011130663516
1147a1a73275
1221a7778250
13108501613b
147783a4380
1545229e596
hex29770725c

11130663516 has 96 divisors (see below), whose sum is σ = 31631523840. Its totient is φ = 2977174464.

The previous prime is 11130663497. The next prime is 11130663517. The reversal of 11130663516 is 61536603111.

11130663516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130663517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29515 + ... + 152093.

It is an arithmetic number, because the mean of its divisors is an integer number (329495040).

Almost surely, 211130663516 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 11130663516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815761920).

11130663516 is an abundant number, since it is smaller than the sum of its proper divisors (20500860324).

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

11130663516 is a wasteful number, since it uses less digits than its factorization.

11130663516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122663 (or 122661 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11130663516 in words is "eleven billion, one hundred thirty million, six hundred sixty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 47 69 84 92 94 138 141 161 188 276 282 322 329 483 564 644 658 966 987 1081 1316 1932 1974 2162 3243 3948 4324 6486 7567 12972 15134 22701 30268 45402 90804 122579 245158 367737 490316 735474 858053 1470948 1716106 2574159 2819317 3432212 5148318 5638634 5761213 8457951 10296636 11277268 11522426 16915902 17283639 19735219 23044852 33831804 34567278 39470438 40328491 59205657 69134556 78940876 80656982 118411314 120985473 132507899 161313964 236822628 241970946 265015798 397523697 483941892 530031596 795047394 927555293 1590094788 1855110586 2782665879 3710221172 5565331758 11130663516