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112627853649 = 34191093831753
BaseRepresentation
bin110100011100100100…
…1001010100101010001
3101202201020011202220000
41220321021022211101
53321130212304044
6123423541440213
711065010650233
oct1507111124521
9352636152800
10112627853649
114384653a493
12199b2a10069
13a80ba72bac
1456461d6253
152de2b7ad69
hex1a3924a951

112627853649 has 80 divisors (see below), whose sum is σ = 179295283200. Its totient is φ = 70256657664.

The previous prime is 112627853633. The next prime is 112627853693. The reversal of 112627853649 is 946358726211.

It is a happy number.

112627853649 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 278 + 5 + 364 + 9 = 666.

It is not a de Polignac number, because 112627853649 - 24 = 112627853633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112627853595 and 112627853604.

It is not an unprimeable number, because it can be changed into a prime (112627853249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64247757 + ... + 64249509.

It is an arithmetic number, because the mean of its divisors is an integer number (2241191040).

Almost surely, 2112627853649 is an apocalyptic number.

112627853649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

112627853649 is a deficient number, since it is larger than the sum of its proper divisors (66667429551).

112627853649 is a wasteful number, since it uses less digits than its factorization.

112627853649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 112627853649 in words is "one hundred twelve billion, six hundred twenty-seven million, eight hundred fifty-three thousand, six hundred forty-nine".

Divisors: 1 3 9 19 27 57 81 109 171 327 383 513 981 1149 1539 1753 2071 2943 3447 5259 6213 7277 8829 10341 15777 18639 21831 31023 33307 41747 47331 55917 65493 99921 125241 141993 167751 191077 196479 299763 375723 573231 589437 671399 793193 899289 1127169 1719693 2014197 2379579 2697867 3381507 3630463 5159079 6042591 7138737 10891389 12756581 15477237 18127773 21416211 32674167 38269743 54383319 64248633 73182491 98022501 114809229 219547473 294067503 344427687 658642419 1033283061 1390467329 1975927257 4171401987 5927781771 12514205961 37542617883 112627853649