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85333333320000 = 263254296379999
BaseRepresentation
bin10011011001110000110111…
…000001010010000101000000
3102012010210020201102021120200
4103121300313001102011000
542141100131312220000
6501253331523005200
723655062356263123
oct2331606701220500
9365123221367520
1085333333320000
112520a733029647
1296a2208809800
13387cb8b89766c
1417102264983ba
159ceab0dc8500
hex4d9c37052140

85333333320000 has 420 divisors, whose sum is σ = 305749878720000. Its totient is φ = 22747591296000.

The previous prime is 85333333319989. The next prime is 85333333320023. The reversal of 85333333320000 is 2333333358.

85333333320000 = T1 + T2 + ... + T79999.

85333333320000 is a nontrivial binomial coefficient, being equal to C(80001, 3).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is the 79999-th tetrahedral number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1066640001 + ... + 1066719999.

Almost surely, 285333333320000 is an apocalyptic number.

85333333320000 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 85333333320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152874939360000).

85333333320000 is an abundant number, since it is smaller than the sum of its proper divisors (220416545400000).

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

85333333320000 is a wasteful number, since it uses less digits than its factorization.

85333333320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83000 (or 82972 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

Adding to 85333333320000 its reverse (2333333358), we get a palindrome (85335666653358).

The spelling of 85333333320000 in words is "eighty-five trillion, three hundred thirty-three billion, three hundred thirty-three million, three hundred twenty thousand".