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68894106624 = 210327241612
BaseRepresentation
bin100000000101001101…
…0001010010000000000
320120211100102020100200
41000022122022100000
52112043342402444
651352143445200
74656155146500
oct1001232122000
9216740366320
1068894106624
1127243a22002
12114285b6800
13665c2b2385
143497bc1a00
151bd34b3969
hex100a68a400

68894106624 has 594 divisors, whose sum is σ = 241002574722. Its totient is φ = 18889113600.

The previous prime is 68894106623. The next prime is 68894106629. The reversal of 68894106624 is 42660149886.

68894106624 is a `hidden beast` number, since 6 + 8 + 8 + 9 + 4 + 1 + 0 + 6 + 624 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15455462400 + 53438644224 = 124320^2 + 231168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68894106623) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1129411554 + ... + 1129411614.

Almost surely, 268894106624 is an apocalyptic number.

68894106624 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 68894106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120501287361).

68894106624 is an abundant number, since it is smaller than the sum of its proper divisors (172108468098).

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

68894106624 is a wasteful number, since it uses less digits than its factorization.

68894106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 68894106624 in words is "sixty-eight billion, eight hundred ninety-four million, one hundred six thousand, six hundred twenty-four".