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81792055800 = 233352713179791
BaseRepresentation
bin100110000101100101…
…1111011100111111000
321211010020011221102000
41030023023323213320
52320002231241200
6101324051341000
75623612001040
oct1141313734770
9254106157360
1081792055800
1131762535134
1213a27bb1760
1379364a2c70
143d5cb84720
1521da9a8300
hex130b2fb9f8

81792055800 has 768 divisors, whose sum is σ = 367176499200. Its totient is φ = 16240435200.

The previous prime is 81792055777. The next prime is 81792055801. The reversal of 81792055800 is 855029718.

It is a happy number.

81792055800 is a `hidden beast` number, since 8 + 1 + 7 + 92 + 0 + 558 + 0 + 0 = 666.

It is a super-3 number, since 3×817920558003 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81792055801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8348905 + ... + 8358695.

It is an arithmetic number, because the mean of its divisors is an integer number (478094400).

Almost surely, 281792055800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81792055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183588249600).

81792055800 is an abundant number, since it is smaller than the sum of its proper divisors (285384443400).

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

81792055800 is a wasteful number, since it uses less digits than its factorization.

81792055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 81792055800 in words is "eighty-one billion, seven hundred ninety-two million, fifty-five thousand, eight hundred".