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78455485440 = 21035563059
BaseRepresentation
bin100100100010001001…
…1111011010000000000
321111111200211121100000
41021010103323100000
52241134101013230
6100013021200000
75445125423463
oct1110423732000
9244450747300
1078455485440
1130300092472
1213256700000
137524158187
143b239a92da
152092aceb60
hex12444fb400

78455485440 has 264 divisors, whose sum is σ = 281919062880. Its totient is φ = 20921131008.

The previous prime is 78455485411. The next prime is 78455485447. The reversal of 78455485440 is 4458455487.

78455485440 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 548 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78455485447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212631 + ... + 1275689.

Almost surely, 278455485440 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 78455485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140959531440).

78455485440 is an abundant number, since it is smaller than the sum of its proper divisors (203463577440).

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

78455485440 is an equidigital number, since it uses as much as digits as its factorization.

78455485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63099 (or 63069 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 78455485440 in words is "seventy-eight billion, four hundred fifty-five million, four hundred eighty-five thousand, four hundred forty".