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117339298272000 = 283453753122021
BaseRepresentation
bin11010101011100000101111…
…001100010001001100000000
3120101110112020110001211220000
4122223200233030101030000
5110334441340324201000
61053320532432520000
733500325124514130
oct3253405714211400
9511415213054800
10117339298272000
113442a353933182
12111b11856b0000
1350620822b516c
1420d93765bcac0
15d873e7693000
hex6ab82f311300

117339298272000 has 1440 divisors, whose sum is σ = 508455271868544. Its totient is φ = 26314149888000.

The previous prime is 117339298271981. The next prime is 117339298272011. The reversal of 117339298272000 is 272892933711.

It is a happy number.

117339298272000 is a `hidden beast` number, since 1 + 1 + 7 + 339 + 29 + 82 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 961570990 + ... + 961693010.

Almost surely, 2117339298272000 is an apocalyptic number.

117339298272000 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 117339298272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254227635934272).

117339298272000 is an abundant number, since it is smaller than the sum of its proper divisors (391115973596544).

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

117339298272000 is an equidigital number, since it uses as much as digits as its factorization.

117339298272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122124 (or 122091 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 117339298272000 in words is "one hundred seventeen trillion, three hundred thirty-nine billion, two hundred ninety-eight million, two hundred seventy-two thousand".