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85024929087360 = 27310517912569
BaseRepresentation
bin10011010101010001101000…
…101100011111111110000000
3102011001022012111110000000000
4103111101220230133332000
542121022023321243420
6500455525130000000
723623564001456463
oct2325215054377600
9364038174400000
1085024929087360
1125100962968a39
129652498876000
133859a7c861942
1416dd32b1052da
159c6a609c1690
hex4d5468b1ff80

85024929087360 has 704 divisors, whose sum is σ = 306620062794000. Its totient is φ = 22544854032384.

The previous prime is 85024929087337. The next prime is 85024929087377. The reversal of 85024929087360 is 6378092942058.

85024929087360 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 492 + 9 + 0 + 87 + 3 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

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 87 ways as a sum of consecutive naturals, for example, 6764647156 + ... + 6764659724.

Almost surely, 285024929087360 is an apocalyptic number.

85024929087360 is a gapful number since it is divisible by the number (80) 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 85024929087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153310031397000).

85024929087360 is an abundant number, since it is smaller than the sum of its proper divisors (221595133706640).

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

85024929087360 is an equidigital number, since it uses as much as digits as its factorization.

85024929087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12797 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 85024929087360 in words is "eighty-five trillion, twenty-four billion, nine hundred twenty-nine million, eighty-seven thousand, three hundred sixty".