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117960856320 = 283589547631
BaseRepresentation
bin110110111011100000…
…0111101001100000000
3102021110220011101020110
41231313000331030000
53413040434400240
6130105050311320
711344115510046
oct1556700751400
9367426141213
10117960856320
114603291230a
121aa40a28540
13b17b8b6188
1459d05bc396
153105e5ec80
hex1b7703d300

117960856320 has 288 divisors, whose sum is σ = 382271823360. Its totient is φ = 30996725760.

The previous prime is 117960856243. The next prime is 117960856333. The reversal of 117960856320 is 23658069711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117960856320.

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 31 ways as a sum of consecutive naturals, for example, 186942405 + ... + 186943035.

It is an arithmetic number, because the mean of its divisors is an integer number (1327332720).

Almost surely, 2117960856320 is an apocalyptic number.

117960856320 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 117960856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191135911680).

117960856320 is an abundant number, since it is smaller than the sum of its proper divisors (264310967040).

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

117960856320 is an equidigital number, since it uses as much as digits as its factorization.

117960856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 117960856320 in words is "one hundred seventeen billion, nine hundred sixty million, eight hundred fifty-six thousand, three hundred twenty".