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80302440960 = 293857683
BaseRepresentation
bin100101011001001100…
…1100000001000000000
321200021102012200000000
41022302121200020000
52303424411102320
6100520200000000
75541653325450
oct1126231401000
9250242180000
1080302440960
11310686a8495
1213691160000
1377599a8971
143c5adc5d60
15214ed10c90
hex12b2660200

80302440960 has 720 divisors, whose sum is σ = 330531005376. Its totient is φ = 18327969792.

The previous prime is 80302440941. The next prime is 80302441007. The reversal of 80302440960 is 6904420308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117572779 + ... + 117573461.

Almost surely, 280302440960 is an apocalyptic number.

80302440960 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 80302440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165265502688).

80302440960 is an abundant number, since it is smaller than the sum of its proper divisors (250228564416).

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

80302440960 is an frugal number, since it uses more digits than its factorization.

80302440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 80302440960 in words is "eighty billion, three hundred two million, four hundred forty thousand, nine hundred sixty".