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112982687676 = 2235826914057
BaseRepresentation
bin110100100111001001…
…0101111111110111100
3101210121221212012200000
41221032102233332330
53322342032001201
6123523055034300
711106546666615
oct1511622577674
9353557765600
10112982687676
1143a08866551
1219a9180b990
13a86742c461
14567b3a0c0c
152e13dbbd86
hex1a4e4affbc

112982687676 has 72 divisors (see below), whose sum is σ = 296229613680. Its totient is φ = 37653662592.

The previous prime is 112982687659. The next prime is 112982687677. The reversal of 112982687676 is 676786289211.

112982687676 is a `hidden beast` number, since 11 + 298 + 268 + 7 + 6 + 76 = 666.

112982687676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112982687677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8030440 + ... + 8044496.

It is an arithmetic number, because the mean of its divisors is an integer number (4114300190).

Almost surely, 2112982687676 is an apocalyptic number.

It is an amenable number.

112982687676 is an abundant number, since it is smaller than the sum of its proper divisors (183246926004).

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

112982687676 is a wasteful number, since it uses less digits than its factorization.

112982687676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345 (or 22331 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 112982687676 in words is "one hundred twelve billion, nine hundred eighty-two million, six hundred eighty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 8269 14057 16538 24807 28114 33076 42171 49614 56228 74421 84342 99228 126513 148842 168684 223263 253026 297684 379539 446526 506052 669789 759078 893052 1138617 1339578 1518156 2009367 2277234 2679156 3415851 4018734 4554468 6831702 8037468 13663404 116237333 232474666 348711999 464949332 697423998 1046135997 1394847996 2092271994 3138407991 4184543988 6276815982 9415223973 12553631964 18830447946 28245671919 37660895892 56491343838 112982687676