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85049925684768 = 2535112229394727
BaseRepresentation
bin10011010101101000111010…
…100110111100111000100000
3102011010200201112221201100000
4103111220322212330320200
542121424221433403033
6500515221345500000
723625440305156662
oct2325507246747040
9364120645851300
1085049925684768
112511051a890600
1296572b4041600
13385c234476495
14170061cc44532
159c7525220a13
hex4d5a3a9bce20

85049925684768 has 432 divisors, whose sum is σ = 276897697352640. Its totient is φ = 25660095183360.

The previous prime is 85049925684767. The next prime is 85049925684781. The reversal of 85049925684768 is 86748652994058.

85049925684768 is a `hidden beast` number, since 8 + 5 + 0 + 4 + 9 + 9 + 2 + 568 + 47 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (85049925684767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215267821 + ... + 215662547.

It is an arithmetic number, because the mean of its divisors is an integer number (640966892020).

Almost surely, 285049925684768 is an apocalyptic number.

85049925684768 is a gapful number since it is divisible by the number (88) 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 85049925684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138448848676320).

85049925684768 is an abundant number, since it is smaller than the sum of its proper divisors (191847771667872).

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

85049925684768 is a wasteful number, since it uses less digits than its factorization.

85049925684768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395003 (or 394972 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 85049925684768 in words is "eighty-five trillion, forty-nine billion, nine hundred twenty-five million, six hundred eighty-four thousand, seven hundred sixty-eight".