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78228110880 = 25335831072039
BaseRepresentation
bin100100011011011000…
…0100011111000100000
321110220211222210002000
41020312300203320200
52240202344022010
655534255524000
75436364654053
oct1106660437040
9243824883060
1078228110880
11301a3802607
12131b2529600
1374b9007c0a
143b016dca9a
15207cb697c0
hex1236c23e20

78228110880 has 384 divisors, whose sum is σ = 279824025600. Its totient is φ = 20406868992.

The previous prime is 78228110869. The next prime is 78228110881. The reversal of 78228110880 is 8801182287.

It is a super-2 number, since 2×782281108802 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78228110881) 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, 38364901 + ... + 38366939.

It is an arithmetic number, because the mean of its divisors is an integer number (728708400).

Almost surely, 278228110880 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 78228110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139912012800).

78228110880 is an abundant number, since it is smaller than the sum of its proper divisors (201595914720).

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

78228110880 is a wasteful number, since it uses less digits than its factorization.

78228110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 78228110880 in words is "seventy-eight billion, two hundred twenty-eight million, one hundred ten thousand, eight hundred eighty".