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80278918830864 = 243413171918018191
BaseRepresentation
bin10010010000001101100100…
…011100001001101100010000
3101112020120220212211200220000
4102100031210130021230100
541010242211210041424
6442423343131050000
722623650306062335
oct2220154434115420
9345216825750800
1080278918830864
11236411098a4006
1290067135a0900
1335a43672c9740
1415b773ddb498c
1594338b4b53c9
hex490364709b10

80278918830864 has 800 divisors, whose sum is σ = 279075897999360. Its totient is φ = 22009688064000.

The previous prime is 80278918830841. The next prime is 80278918830893. The reversal of 80278918830864 is 46803881987208.

80278918830864 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 89 + 188 + 308 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 80278918830792 and 80278918830801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9800865009 + ... + 9800873199.

Almost surely, 280278918830864 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 80278918830864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537948999680).

80278918830864 is an abundant number, since it is smaller than the sum of its proper divisors (198796979168496).

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

80278918830864 is a wasteful number, since it uses less digits than its factorization.

80278918830864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 80278918830864 in words is "eighty trillion, two hundred seventy-eight billion, nine hundred eighteen million, eight hundred thirty thousand, eight hundred sixty-four".