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11114469168 = 24311173973119
BaseRepresentation
bin10100101100111100…
…10101011100110000
31001200120211112102020
422112132111130300
5140230301003133
65034513351440
7542266300125
oct122636253460
931616745366
1011114469168
114793912210
1221a2268580
131081865c9a
1477618a74c
15450b510b3
hex296795730

11114469168 has 160 divisors (see below), whose sum is σ = 33259299840. Its totient is φ = 3160903680.

The previous prime is 11114469131. The next prime is 11114469181. The reversal of 11114469168 is 86196441111.

11114469168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111144691682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 3561913 + ... + 3565031.

It is an arithmetic number, because the mean of its divisors is an integer number (207870624).

Almost surely, 211114469168 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 11114469168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629649920).

11114469168 is an abundant number, since it is smaller than the sum of its proper divisors (22144830672).

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

11114469168 is a wasteful number, since it uses less digits than its factorization.

11114469168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3549 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The spelling of 11114469168 in words is "eleven billion, one hundred fourteen million, four hundred sixty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 397 408 528 561 748 794 816 1122 1191 1496 1588 2244 2382 2992 3119 3176 4367 4488 4764 6238 6352 6749 8734 8976 9357 9528 12476 13101 13498 17468 18714 19056 20247 24952 26202 26996 34309 34936 37428 40494 49904 52404 53023 53992 68618 69872 74239 74856 80988 102927 104808 106046 107984 137236 148478 149712 159069 161976 205854 209616 212092 222717 274472 296956 318138 323952 411708 424184 445434 548944 583253 593912 636276 823416 848368 890868 1166506 1187824 1238243 1272552 1646832 1749759 1781736 2333012 2476486 2545104 3499518 3563472 3714729 4666024 4952972 6999036 7429458 9332048 9905944 13620673 13998072 14858916 19811888 21050131 27241346 27996144 29717832 40862019 42100262 54482692 59435664 63150393 81724038 84200524 108965384 126300786 163448076 168401048 217930768 231551441 252601572 326896152 336802096 463102882 505203144 653792304 694654323 926205764 1010406288 1389308646 1852411528 2778617292 3704823056 5557234584 11114469168