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78897080064 = 28311379977
BaseRepresentation
bin100100101111010100…
…0011110011100000000
321112122110202221021110
41021132220132130000
52243040123030224
6100124514123320
75462100054405
oct1113650363400
9245573687243
1078897080064
1130507388000
121335a580540
1375947a107a
143b664ba2ac
1520bb75c929
hex125ea1e700

78897080064 has 288 divisors, whose sum is σ = 234126627840. Its totient is φ = 23581409280.

The previous prime is 78897080063. The next prime is 78897080089. The reversal of 78897080064 is 46008079887.

It is a junction number, because it is equal to n+sod(n) for n = 78897079986 and 78897080013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78897080063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80753944 + ... + 80754920.

It is an arithmetic number, because the mean of its divisors is an integer number (812939680).

Almost surely, 278897080064 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 78897080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117063313920).

78897080064 is an abundant number, since it is smaller than the sum of its proper divisors (155229547776).

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

78897080064 is an equidigital number, since it uses as much as digits as its factorization.

78897080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 78897080064 in words is "seventy-eight billion, eight hundred ninety-seven million, eighty thousand, sixty-four".