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68494962816 = 2732724328219
BaseRepresentation
bin111111110010100111…
…100011000010000000
320112210112100121222200
4333302213203002000
52110234202302231
651244404433200
74643240402100
oct776247430200
9215715317880
1068494962816
1127059691395
12113369a8800
1365c76b06c7
14345aba1200
151bad41dbe6
hexff29e3080

68494962816 has 288 divisors, whose sum is σ = 234621644400. Its totient is φ = 19114195968.

The previous prime is 68494962793. The next prime is 68494962821. The reversal of 68494962816 is 61826949486.

68494962816 is a `hidden beast` number, since 6 + 8 + 494 + 9 + 62 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 2413155 + ... + 2441373.

Almost surely, 268494962816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68494962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117310822200).

68494962816 is an abundant number, since it is smaller than the sum of its proper divisors (166126681584).

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

68494962816 is a wasteful number, since it uses less digits than its factorization.

68494962816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28296 (or 28274 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 68494962816 in words is "sixty-eight billion, four hundred ninety-four million, nine hundred sixty-two thousand, eight hundred sixteen".