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68416454304 = 25341117219223
BaseRepresentation
bin111111101101111100…
…000011111010100000
320112121001121222120000
4333231330003322200
52110104103014204
651232522020000
74641265160232
oct775574037240
9215531558500
1068416454304
1127019339820
1211314647600
1365b4353173
1434505a6252
151ba65b2039
hexfedf03ea0

68416454304 has 1080 divisors, whose sum is σ = 256792159008. Its totient is φ = 17682001920.

The previous prime is 68416454299. The next prime is 68416454329. The reversal of 68416454304 is 40345461486.

68416454304 is a `hidden beast` number, since 6 + 8 + 41 + 64 + 543 + 0 + 4 = 666.

It is a super-2 number, since 2×684164543042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68416454304.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2974628437 + ... + 2974628459.

Almost surely, 268416454304 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 68416454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128396079504).

68416454304 is an abundant number, since it is smaller than the sum of its proper divisors (188375704704).

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

68416454304 is a wasteful number, since it uses less digits than its factorization.

68416454304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 68416454304 in words is "sixty-eight billion, four hundred sixteen million, four hundred fifty-four thousand, three hundred four".