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117803174889312 = 253311411105927337
BaseRepresentation
bin11010110010010000110000…
…011001001000011101100000
3120110002212120210202120212000
4122302100300121020131200
5110420041400232424222
61054314010442404000
733545666330636133
oct3262206031103540
9513085523676760
10117803174889312
11345990561145a0
1211267064b00600
135096a3a562583
1421139c002c21a
15d944e6ce19ac
hex6b2430648760

117803174889312 has 384 divisors, whose sum is σ = 384019204262400. Its totient is φ = 34822827417600.

The previous prime is 117803174889299. The next prime is 117803174889343. The reversal of 117803174889312 is 213988471308711.

117803174889312 is a `hidden beast` number, since 1 + 1 + 78 + 0 + 3 + 174 + 8 + 89 + 312 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117803174889312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4309280508 + ... + 4309307844.

It is an arithmetic number, because the mean of its divisors is an integer number (1000050011100).

Almost surely, 2117803174889312 is an apocalyptic number.

117803174889312 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 117803174889312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192009602131200).

117803174889312 is an abundant number, since it is smaller than the sum of its proper divisors (266216029373088).

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

117803174889312 is a wasteful number, since it uses less digits than its factorization.

117803174889312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38467 (or 38453 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 117803174889312 in words is "one hundred seventeen trillion, eight hundred three billion, one hundred seventy-four million, eight hundred eighty-nine thousand, three hundred twelve".