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68450081870016 = 26377116351181
BaseRepresentation
bin11111001000001010001101…
…10100001001000011000000
322222100202121220012220000000
433210011012310021003000
532432441231424320031
6401325311123000000
720263232560633560
oct1744050664110300
9288322556186000
1068450081870016
111a8a05757a8960
127816101b09000
132c26a797b6ca2
1412c90046dada0
157da8250793e6
hex3e4146d090c0

68450081870016 has 448 divisors, whose sum is σ = 253982243896320. Its totient is φ = 17779239244800.

The previous prime is 68450081869997. The next prime is 68450081870017. The reversal of 68450081870016 is 61007818005486.

It is a happy number.

68450081870016 is a `hidden beast` number, since 6 + 8 + 450 + 0 + 8 + 187 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (68450081870017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7601946 + ... + 13953126.

Almost surely, 268450081870016 is an apocalyptic number.

68450081870016 is a gapful number since it is divisible by the number (66) 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 68450081870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991121948160).

68450081870016 is an abundant number, since it is smaller than the sum of its proper divisors (185532162026304).

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

68450081870016 is an equidigital number, since it uses as much as digits as its factorization.

68450081870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351232 (or 6351204 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 68450081870016 in words is "sixty-eight trillion, four hundred fifty billion, eighty-one million, eight hundred seventy thousand, sixteen".