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111989266272 = 25321353564371
BaseRepresentation
bin110100001001100010…
…1001001011101100000
3101201001201120011200200
41220103011021131200
53313323223010042
6123240330345200
711043125025402
oct1502305113540
9351051504620
10111989266272
1143549026324
1219854b8b200
13a739686740
1455c5486b72
152da6a89c4c
hex1a13149760

111989266272 has 144 divisors (see below), whose sum is σ = 349438825008. Its totient is φ = 33808020480.

The previous prime is 111989266241. The next prime is 111989266313. The reversal of 111989266272 is 272662989111.

It is a happy number.

111989266272 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 8 + 9 + 2 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83754 + ... + 480617.

It is an arithmetic number, because the mean of its divisors is an integer number (2426658507).

Almost surely, 2111989266272 is an apocalyptic number.

111989266272 is a gapful number since it is divisible by the number (12) 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 111989266272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174719412504).

111989266272 is an abundant number, since it is smaller than the sum of its proper divisors (237449558736).

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

111989266272 is a wasteful number, since it uses less digits than its factorization.

111989266272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564453 (or 564442 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 111989266272 in words is "one hundred eleven billion, nine hundred eighty-nine million, two hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 3744 3816 4134 5088 5512 6201 7632 8268 11024 12402 15264 16536 22048 24804 33072 49608 66144 99216 198432 564371 1128742 1693113 2257484 3386226 4514968 5079339 6772452 7336823 9029936 10158678 13544904 14673646 18059872 20317356 22010469 27089808 29347292 29911663 40634712 44020938 54179616 58694584 59823326 66031407 81269424 88041876 89734989 117389168 119646652 132062814 162538848 176083752 179469978 234778336 239293304 264125628 269204967 352167504 358939956 388851619 478586608 528251256 538409934 704335008 717879912 777703238 957173216 1056502512 1076819868 1166554857 1435759824 1555406476 2113005024 2153639736 2333109714 2871519648 3110812952 3499664571 4307279472 4666219428 6221625904 6999329142 8614558944 9332438856 12443251808 13998658284 18664877712 27997316568 37329755424 55994633136 111989266272