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109814696112 = 243112193147683
BaseRepresentation
bin110011001000101110…
…1110100100010110000
3101111110011201120020010
41212101131310202300
53244400030233422
6122240450014520
710635211341612
oct1462135644260
9344404646203
10109814696112
1142632595600
1219348877440
13a480cb9b34
14545a748db2
152ccabe2b0c
hex19917748b0

109814696112 has 480 divisors, whose sum is σ = 346537820160. Its totient is φ = 29815948800.

The previous prime is 109814696039. The next prime is 109814696137. The reversal of 109814696112 is 211696418901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160782523 + ... + 160783205.

It is an arithmetic number, because the mean of its divisors is an integer number (721953792).

Almost surely, 2109814696112 is an apocalyptic number.

109814696112 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 109814696112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173268910080).

109814696112 is an abundant number, since it is smaller than the sum of its proper divisors (236723124048).

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

109814696112 is a wasteful number, since it uses less digits than its factorization.

109814696112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 109814696112 in words is "one hundred nine billion, eight hundred fourteen million, six hundred ninety-six thousand, one hundred twelve".