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117735100447400 = 235243389199717623
BaseRepresentation
bin11010110001010001010110…
…110101101111101010101000
3120102212100212120200122002122
4122301101112311233222220
5110412432441203304100
61054222431455050412
733541036354504352
oct3261212665575250
9512770776618078
10117735100447400
11345721a2944847
1211255a26b10a08
1350904ac029a07
1421105a30540d2
15d9286078b985
hex6b1456d6faa8

117735100447400 has 192 divisors, whose sum is σ = 280976633308800. Its totient is φ = 45855004124160.

The previous prime is 117735100447381. The next prime is 117735100447417. The reversal of 117735100447400 is 4744001537711.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6680754989 + ... + 6680772611.

It is an arithmetic number, because the mean of its divisors is an integer number (1463419965150).

Almost surely, 2117735100447400 is an apocalyptic number.

117735100447400 is a gapful number since it is divisible by the number (10) 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 117735100447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140488316654400).

117735100447400 is an abundant number, since it is smaller than the sum of its proper divisors (163241532861400).

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

117735100447400 is a wasteful number, since it uses less digits than its factorization.

117735100447400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 117735100447400 in words is "one hundred seventeen trillion, seven hundred thirty-five billion, one hundred million, four hundred forty-seven thousand, four hundred".