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80252620800 = 21235211217127
BaseRepresentation
bin100101010111101101…
…1011101000000000000
321200010221110112120220
41022233123131000000
52303324132331200
6100511220103040
75540510010252
oct1125733350000
9250127415526
1080252620800
113104256a900
1213678534a80
13774c584391
143c54537cd2
15214a76e4a0
hex12af6dd000

80252620800 has 936 divisors, whose sum is σ = 311238079488. Its totient is φ = 18166579200.

The previous prime is 80252620771. The next prime is 80252620823. The reversal of 80252620800 is 802625208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631910337 + ... + 631910463.

Almost surely, 280252620800 is an apocalyptic number.

80252620800 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 80252620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155619039744).

80252620800 is an abundant number, since it is smaller than the sum of its proper divisors (230985458688).

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

80252620800 is a wasteful number, since it uses less digits than its factorization.

80252620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 80252620800 in words is "eighty billion, two hundred fifty-two million, six hundred twenty thousand, eight hundred".