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80103997440 = 217355503
BaseRepresentation
bin100101010011010010…
…0100000000000000000
321122202120210200200000
41022212210200000000
52303023110404230
6100444350400000
75534023513065
oct1124644400000
9248676720600
1080103997440
1130a76688985
1213636800000
137727847c6c
143c3c8cac6c
15213c6b2b60
hex12a6920000

80103997440 has 432 divisors, whose sum is σ = 288550237248. Its totient is φ = 21318598656.

The previous prime is 80103997387. The next prime is 80103997459. The reversal of 80103997440 is 4479930108.

80103997440 is a `hidden beast` number, since 80 + 10 + 39 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 23 ways as a sum of consecutive naturals, for example, 159252229 + ... + 159252731.

It is an arithmetic number, because the mean of its divisors is an integer number (667940364).

Almost surely, 280103997440 is an apocalyptic number.

80103997440 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 80103997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144275118624).

80103997440 is an abundant number, since it is smaller than the sum of its proper divisors (208446239808).

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

80103997440 is an frugal number, since it uses more digits than its factorization.

80103997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 80103997440 in words is "eighty billion, one hundred three million, nine hundred ninety-seven thousand, four hundred forty".