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117339373228900 = 22523128324212
BaseRepresentation
bin11010101011100000110011…
…101010001101001101100100
3120101110112102200010001102111
4122223200303222031031210
5110334442014021311100
61053320544111250404
733500330024604304
oct3253406352151544
9511415380101374
10117339373228900
113442a39217a429
12111b11a6819a04
13506209499ac64
1420d9382531604
15d873ee04c6ba
hex6ab833a8d364

117339373228900 has 243 divisors, whose sum is σ = 266947365296619. Its totient is φ = 44767853424000.

The previous prime is 117339373228873. The next prime is 117339373228907. The reversal of 117339373228900 is 9822373933711.

The square root of 117339373228900 is 10832330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67200285066084 + 50139088162816 = 8197578^2 + 7080896^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (117339373228907) 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 80 ways as a sum of consecutive naturals, for example, 278715850690 + ... + 278715851110.

Almost surely, 2117339373228900 is an apocalyptic number.

117339373228900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117339373228900 is the 10832330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117339373228900

117339373228900 is an abundant number, since it is smaller than the sum of its proper divisors (149607992067719).

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

117339373228900 is an frugal number, since it uses more digits than its factorization.

117339373228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 117339373228900 in words is "one hundred seventeen trillion, three hundred thirty-nine billion, three hundred seventy-three million, two hundred twenty-eight thousand, nine hundred".