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80814469824 = 2634112948869
BaseRepresentation
bin100101101000011101…
…0101111001011000000
321201121002200102120000
41023100322233023000
52311002001013244
6101043050320000
75560441442124
oct1132072571300
9251532612500
1080814469824
1131300730340
12137b4729000
13780bab2c1a
143ca8dcd584
15217ec53169
hex12d0eaf2c0

80814469824 has 280 divisors, whose sum is σ = 270354704400. Its totient is φ = 23644293120.

The previous prime is 80814469819. The next prime is 80814469837. The reversal of 80814469824 is 42896441808.

It is a happy number.

80814469824 is a `hidden beast` number, since 80 + 81 + 4 + 469 + 8 + 24 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 1629262 + ... + 1678130.

Almost surely, 280814469824 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 80814469824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135177352200).

80814469824 is an abundant number, since it is smaller than the sum of its proper divisors (189540234576).

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

80814469824 is a wasteful number, since it uses less digits than its factorization.

80814469824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48933 (or 48914 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 80814469824 in words is "eighty billion, eight hundred fourteen million, four hundred sixty-nine thousand, eight hundred twenty-four".