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111997981748772 = 2232731713211061323
BaseRepresentation
bin11001011101110010001111…
…111010101110111000100100
3112200112220100220200211212200
4121131302033322232320210
5104134433331311430042
61034111055034414500
732406405252256350
oct3135621772567044
9480486326624780
10111997981748772
1132760093a08a59
1210689b61591430
134a6549766b022
141d92a34744460
15ce34d0424c4c
hex65dc8feaee24

111997981748772 has 144 divisors (see below), whose sum is σ = 324816393213312. Its totient is φ = 31874301550080.

The previous prime is 111997981748771. The next prime is 111997981748791. The reversal of 111997981748772 is 277847189799111.

111997981748772 is a `hidden beast` number, since 1 + 119 + 9 + 7 + 9 + 8 + 17 + 487 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111997981748691 and 111997981748700.

It is not an unprimeable number, because it can be changed into a prime (111997981748771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104996103 + ... + 106057425.

Almost surely, 2111997981748772 is an apocalyptic number.

111997981748772 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 111997981748772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162408196606656).

111997981748772 is an abundant number, since it is smaller than the sum of its proper divisors (212818411464540).

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

111997981748772 is a wasteful number, since it uses less digits than its factorization.

111997981748772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062978 (or 1062973 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 81.

The spelling of 111997981748772 in words is "one hundred eleven trillion, nine hundred ninety-seven billion, nine hundred eighty-one million, seven hundred forty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1321 1902 2219 2642 2853 3804 3963 4438 5284 5706 6657 7926 8876 9247 11412 11889 13314 15852 18494 19971 23778 26628 27741 36988 39942 47556 55482 79884 83223 110964 166446 332892 418757 837514 1061323 1256271 1675028 2122646 2512542 2931299 3183969 3768813 4245292 5025084 5862598 6367938 7429261 7537626 8793897 9551907 11725196 12735876 14858522 15075252 17587794 19103814 22287783 26381691 29717044 35175588 38207628 44575566 52763382 66863349 89151132 105526764 133726698 267453396 336439391 672878782 1009318173 1345757564 1402007683 2018636346 2355075737 2804015366 3027954519 4037272692 4206023049 4710151474 5608030732 6055909038 7065227211 8412046098 9420302948 9814053781 12111818076 12618069147 14130454422 16824092196 19628107562 21195681633 25236138294 28260908844 29442161343 39256215124 42391363266 50472276588 58884322686 84782726532 88326484029 117768645372 176652968058 353305936116 444436435511 888872871022 1333309306533 1777745742044 2666618613066 3111055048577 3999927919599 5333237226132 6222110097154 7999855839198 9333165145731 12444220194308 15999711678396 18666330291462 27999495437193 37332660582924 55998990874386 111997981748772