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80537738400 = 25335272323159
BaseRepresentation
bin100101100000001101…
…1000101110010100000
321200212210222000102000
41023000123011302200
52304420130112100
6100555403124000
75550541324020
oct1130033056240
9250783860360
1080537738400
11311794a9989
1213737b13600
137796671212
143c80355a80
1521657dd900
hex12c06c5ca0

80537738400 has 576 divisors, whose sum is σ = 347377766400. Its totient is φ = 17607490560.

The previous prime is 80537738389. The next prime is 80537738429. The reversal of 80537738400 is 483773508.

80537738400 is a `hidden beast` number, since 8 + 0 + 537 + 73 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3466021 + ... + 3489179.

It is an arithmetic number, because the mean of its divisors is an integer number (603086400).

Almost surely, 280537738400 is an apocalyptic number.

80537738400 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 80537738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173688883200).

80537738400 is an abundant number, since it is smaller than the sum of its proper divisors (266840028000).

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

80537738400 is a wasteful number, since it uses less digits than its factorization.

80537738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23218 (or 23199 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 80537738400 in words is "eighty billion, five hundred thirty-seven million, seven hundred thirty-eight thousand, four hundred".