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80780813568 = 283373132621
BaseRepresentation
bin100101100111011101…
…0010110010100000000
321201111202100111212000
41023032322112110000
52310414342013233
6101035445104000
75556552405000
oct1131672262400
9251452314760
1080780813568
1131293732954
12137a53b8000
137804b2a990
143ca474c000
15217bd05d13
hex12cee96500

80780813568 has 576 divisors, whose sum is σ = 300124608000. Its totient is φ = 21296701440.

The previous prime is 80780813513. The next prime is 80780813569. The reversal of 80780813568 is 86531808708.

It is a happy number.

80780813568 is a `hidden beast` number, since 8 + 0 + 78 + 0 + 8 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80780813569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30819298 + ... + 30821918.

Almost surely, 280780813568 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 80780813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150062304000).

80780813568 is an abundant number, since it is smaller than the sum of its proper divisors (219343794432).

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

80780813568 is a wasteful number, since it uses less digits than its factorization.

80780813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 80780813568 in words is "eighty billion, seven hundred eighty million, eight hundred thirteen thousand, five hundred sixty-eight".