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78303322240 = 275111329163181
BaseRepresentation
bin100100011101100111…
…1011110000010000000
321111010002111220122221
41020323033132002000
52240331122302430
655545543540424
75441300154133
oct1107317360200
9244102456587
1078303322240
1130232202a60
121321375a714
1374cb77c790
143b0b6ba21a
15208457457a
hex123b3de080

78303322240 has 512 divisors, whose sum is σ = 230163897600. Its totient is φ = 25082265600.

The previous prime is 78303322213. The next prime is 78303322247. The reversal of 78303322240 is 4222330387.

It is a super-2 number, since 2×783033222402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78303322196 and 78303322205.

It is not an unprimeable number, because it can be changed into a prime (78303322247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432614950 + ... + 432615130.

Almost surely, 278303322240 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 78303322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115081948800).

78303322240 is an abundant number, since it is smaller than the sum of its proper divisors (151860575360).

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

78303322240 is a wasteful number, since it uses less digits than its factorization.

78303322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 78303322240 in words is "seventy-eight billion, three hundred three million, three hundred twenty-two thousand, two hundred forty".