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117246310272 = 2735713231801
BaseRepresentation
bin110110100110001101…
…1001011011110000000
3102012122002121200100000
41231030123023132000
53410110023412042
6125510123200000
711320321123320
oct1551433133600
9365562550300
10117246310272
11457a6538293
121a881676000
13b096852c70
145963739280
1530b336774c
hex1b4c6cb780

117246310272 has 768 divisors, whose sum is σ = 449599288320. Its totient is φ = 29561241600.

The previous prime is 117246310267. The next prime is 117246310273. The reversal of 117246310272 is 272013642711.

117246310272 is a `hidden beast` number, since 1 + 1 + 72 + 4 + 6 + 310 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117246310273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65099772 + ... + 65101572.

It is an arithmetic number, because the mean of its divisors is an integer number (585415740).

Almost surely, 2117246310272 is an apocalyptic number.

117246310272 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 117246310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224799644160).

117246310272 is an abundant number, since it is smaller than the sum of its proper divisors (332352978048).

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

117246310272 is a wasteful number, since it uses less digits than its factorization.

117246310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 117246310272 its reverse (272013642711), we get a palindrome (389259952983).

The spelling of 117246310272 in words is "one hundred seventeen billion, two hundred forty-six million, three hundred ten thousand, two hundred seventy-two".