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117563322240 = 27375713271
BaseRepresentation
bin110110101111101010…
…0011110111110000000
3102020110012010120000000
41231133110132332000
53411232202302430
6130001410000000
711331220515420
oct1553724367600
9366405116000
10117563322240
1145949481051
121a94b876000
13b117429100
14599389a480
1530d10d6e60
hex1b5f51ef80

117563322240 has 1536 divisors, whose sum is σ = 528979507200. Its totient is φ = 24455208960.

The previous prime is 117563322209. The next prime is 117563322259. The reversal of 117563322240 is 42223365711.

117563322240 is a `hidden beast` number, since 1 + 1 + 7 + 563 + 32 + 22 + 40 = 666.

It is a super-2 number, since 2×1175633222402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 117563322195 and 117563322204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1655821405 + ... + 1655821475.

It is an arithmetic number, because the mean of its divisors is an integer number (344387700).

Almost surely, 2117563322240 is an apocalyptic number.

117563322240 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 117563322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264489753600).

117563322240 is an abundant number, since it is smaller than the sum of its proper divisors (411416184960).

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

117563322240 is an frugal number, since it uses more digits than its factorization.

117563322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 117563322240 its reverse (42223365711), we get a palindrome (159786687951).

The spelling of 117563322240 in words is "one hundred seventeen billion, five hundred sixty-three million, three hundred twenty-two thousand, two hundred forty".