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68896386155520 = 21033571122325583
BaseRepresentation
bin11111010101001001100001…
…00111111000010000000000
3100000221102121121110200102000
433222210300213320100000
533012244244323434040
6402310321324424000
720340412450522530
oct1752446047702000
9300842547420360
1068896386155520
111aa5287a950300
1278886b83a8000
132c59b94311c21
1413028624474c0
157e7246b4b130
hex3ea9309f8400

68896386155520 has 2112 divisors, whose sum is σ = 320959622430720. Its totient is φ = 13693156392960.

The previous prime is 68896386155507. The next prime is 68896386155549. The reversal of 68896386155520 is 2555168369886.

68896386155520 is a `hidden beast` number, since 6 + 8 + 8 + 9 + 6 + 3 + 8 + 61 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2693040649 + ... + 2693066231.

Almost surely, 268896386155520 is an apocalyptic number.

68896386155520 is a gapful number since it is divisible by the number (60) 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 68896386155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160479811215360).

68896386155520 is an abundant number, since it is smaller than the sum of its proper divisors (252063236275200).

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

68896386155520 is a wasteful number, since it uses less digits than its factorization.

68896386155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25669 (or 25634 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 68896386155520 in words is "sixty-eight trillion, eight hundred ninety-six billion, three hundred eighty-six million, one hundred fifty-five thousand, five hundred twenty".