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68825680704 = 26321131734267
BaseRepresentation
bin100000000011001010…
…1001000101101000000
320120122120122211122100
41000012111020231000
52111423333240304
651341301110400
74654364430144
oct1000625105500
9216576584570
1068825680704
1127209336660
12114096b8400
13664b075171
14348ca8d224
151bcc499439
hex1006548b40

68825680704 has 168 divisors, whose sum is σ = 215895801888. Its totient is φ = 20789867520.

The previous prime is 68825680643. The next prime is 68825680711. The reversal of 68825680704 is 40708652886.

68825680704 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 568 + 0 + 70 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1991379 + ... + 2025645.

Almost surely, 268825680704 is an apocalyptic number.

68825680704 is a gapful number since it is divisible by the number (64) 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 68825680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107947900944).

68825680704 is an abundant number, since it is smaller than the sum of its proper divisors (147070121184).

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

68825680704 is a wasteful number, since it uses less digits than its factorization.

68825680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34613 (or 34600 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 68825680704 in words is "sixty-eight billion, eight hundred twenty-five million, six hundred eighty thousand, seven hundred four".