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112133941329888 = 2534148859290621
BaseRepresentation
bin11001011111110000110111…
…101111010111111111100000
3112201000220022011122011220000
4121133300313233113333200
5104144200302440024023
61034253342124220000
732422260412530642
oct3137606757277740
9481026264564800
10112133941329888
1132802812611635
12106b038609a600
134a752541291ca
141d994514da892
15ce6cdb58a243
hex65fc37bd7fe0

112133941329888 has 120 divisors (see below), whose sum is σ = 329786156783160. Its totient is φ = 37377600733440.

The previous prime is 112133941329881. The next prime is 112133941329899. The reversal of 112133941329888 is 888923149331211.

It is a happy number.

112133941329888 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 339 + 4 + 1 + 3 + 298 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133941329881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385697218 + ... + 385987838.

It is an arithmetic number, because the mean of its divisors is an integer number (2748217973193).

Almost surely, 2112133941329888 is an apocalyptic number.

112133941329888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112133941329888 is an abundant number, since it is smaller than the sum of its proper divisors (217652215453272).

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

112133941329888 is a wasteful number, since it uses less digits than its factorization.

112133941329888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439502 (or 439485 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 112133941329888 in words is "one hundred twelve trillion, one hundred thirty-three billion, nine hundred forty-one million, three hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 148859 290621 297718 446577 581242 595436 871863 893154 1162484 1190872 1339731 1743726 1786308 2324968 2381744 2615589 2679462 3487452 3572616 4019193 4649936 4763488 5231178 5358924 6974904 7145232 7846767 8038386 9299872 10462356 10717848 12057579 13949808 14290464 15693534 16076772 20924712 21435696 23540301 24115158 27899616 31387068 32153544 41849424 42871392 47080602 48230316 62774136 64307088 83698848 94161204 96460632 125548272 128614176 188322408 192921264 251096544 376644816 385842528 753289632 43261551439 86523102878 129784654317 173046205756 259569308634 346092411512 389353962951 519138617268 692184823024 778707925902 1038277234536 1168061888853 1384369646048 1557415851804 2076554469072 2336123777706 3114831703608 3504185666559 4153108938144 4672247555412 6229663407216 7008371333118 9344495110824 12459326814432 14016742666236 18688990221648 28033485332472 37377980443296 56066970664944 112133941329888