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80818055136 = 25327313247103
BaseRepresentation
bin100101101000100100…
…0011010011111100000
321201121100102120200100
41023101020122133200
52311003410231021
6101043255222400
75560514064000
oct1132110323740
9251540376610
1080818055136
113130275a005
12137b5977a00
13780c769b00
143ca9684000
152180210626
hex12d121a7e0

80818055136 has 864 divisors, whose sum is σ = 299274393600. Its totient is φ = 20658613248.

The previous prime is 80818055113. The next prime is 80818055161. The reversal of 80818055136 is 63155081808.

80818055136 is a `hidden beast` number, since 80 + 8 + 18 + 0 + 551 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 80818055091 and 80818055100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 784641261 + ... + 784641363.

It is an arithmetic number, because the mean of its divisors is an integer number (346382400).

Almost surely, 280818055136 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 80818055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149637196800).

80818055136 is an abundant number, since it is smaller than the sum of its proper divisors (218456338464).

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

80818055136 is a wasteful number, since it uses less digits than its factorization.

80818055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 80818055136 in words is "eighty billion, eight hundred eighteen million, fifty-five thousand, one hundred thirty-six".