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117044998963200 = 21735527112383
BaseRepresentation
bin11010100111001110101001…
…100101100000000000000000
3120100102101121012222221100000
4122213032221211200000000
5110320131124213310300
61052533421421200000
733440136120616440
oct3247165145400000
9510371535887300
10117044998963200
1134326561615620
1211164131400000
1350403b0537019
1420c9018616120
15d7e9206e7c00
hex6a73a9960000

117044998963200 has 5184 divisors, whose sum is σ = 572483670700032. Its totient is φ = 22983317913600.

The previous prime is 117044998963171. The next prime is 117044998963231. The reversal of 117044998963200 is 2369899440711.

117044998963200 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 499 + 89 + 63 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 1410180710359 + ... + 1410180710441.

It is an arithmetic number, because the mean of its divisors is an integer number (110432806848).

Almost surely, 2117044998963200 is an apocalyptic number.

117044998963200 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 117044998963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286241835350016).

117044998963200 is an abundant number, since it is smaller than the sum of its proper divisors (455438671736832).

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

117044998963200 is an frugal number, since it uses more digits than its factorization.

117044998963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 117044998963200 in words is "one hundred seventeen trillion, forty-four billion, nine hundred ninety-eight million, nine hundred sixty-three thousand, two hundred".