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80209483200 = 26335271124113
BaseRepresentation
bin100101010110011011…
…0111001010111000000
321200000221021220221000
41022230312321113000
52303232111430300
6100503035332000
75536444233540
oct1125466712700
9250027256830
1080209483200
11310201869a0
1213665bb1000
13774365c682
143c4c909320
152146a9cc00
hex12acdb95c0

80209483200 has 672 divisors, whose sum is σ = 364557381120. Its totient is φ = 16666214400.

The previous prime is 80209483169. The next prime is 80209483213. The reversal of 80209483200 is 238490208.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×802094832002 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3314344 + ... + 3338456.

Almost surely, 280209483200 is an apocalyptic number.

80209483200 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 80209483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182278690560).

80209483200 is an abundant number, since it is smaller than the sum of its proper divisors (284347897920).

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

80209483200 is a wasteful number, since it uses less digits than its factorization.

80209483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162 (or 24141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80209483200 in words is "eighty billion, two hundred nine million, four hundred eighty-three thousand, two hundred".