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9020213452800 = 213325211232292
BaseRepresentation
bin1000001101000010111010…
…0111100110000000000000
31011221022202011222121210100
42003100232213212000000
52140241344120442200
631103455011002400
71620455204166444
oct203205647460000
934838664877710
109020213452800
1129684a6379420
121018217299400
135057aa851c54
1423281b492824
1510998305cd00
hex8342e9e6000

9020213452800 has 2268 divisors, whose sum is σ = 38161286716644. Its totient is φ = 2019518054400.

The previous prime is 9020213452753. The next prime is 9020213452813. The reversal of 9020213452800 is 82543120209.

It is a happy number.

9020213452800 is a `hidden beast` number, since 90 + 20 + 21 + 3 + 4 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 311041843186 + ... + 311041843214.

Almost surely, 29020213452800 is an apocalyptic number.

9020213452800 is a gapful number since it is divisible by the number (90) 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 9020213452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080643358322).

9020213452800 is an abundant number, since it is smaller than the sum of its proper divisors (29141073263844).

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

9020213452800 is a wasteful number, since it uses less digits than its factorization.

9020213452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 9020213452800 in words is "nine trillion, twenty billion, two hundred thirteen million, four hundred fifty-two thousand, eight hundred".