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80915466240 = 211335741809
BaseRepresentation
bin100101101011011110…
…0000000100000000000
321201212010201120121000
41023112330000200000
52311203324404430
6101101055132000
75563106054250
oct1132674004000
9251763646530
1080915466240
1131352742454
1213822514000
1378269b510b
143cb859d960
152188a52e60
hex12d6f00800

80915466240 has 384 divisors, whose sum is σ = 328726944000. Its totient is φ = 18494521344.

The previous prime is 80915466143. The next prime is 80915466259. The reversal of 80915466240 is 4266451908.

80915466240 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 546 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914456 + ... + 1956264.

It is an arithmetic number, because the mean of its divisors is an integer number (856059750).

Almost surely, 280915466240 is an apocalyptic number.

80915466240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80915466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164363472000).

80915466240 is an abundant number, since it is smaller than the sum of its proper divisors (247811477760).

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

80915466240 is a wasteful number, since it uses less digits than its factorization.

80915466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41852 (or 41826 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 80915466240 in words is "eighty billion, nine hundred fifteen million, four hundred sixty-six thousand, two hundred forty".