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69028385760 = 25335175989179
BaseRepresentation
bin100000001001001101…
…0011001001111100000
320121011201002022201000
41000102122121033200
52112332231321020
651413341512000
74662405412035
oct1002232311740
9217151068630
1069028385760
11273027a69a4
1211465572600
136681068799
1434ab97738c
151be018a090
hex10126993e0

69028385760 has 768 divisors, whose sum is σ = 264539520000. Its totient is φ = 16745693184.

The previous prime is 69028385759. The next prime is 69028385831. The reversal of 69028385760 is 6758382096.

It is a happy number.

69028385760 is a `hidden beast` number, since 69 + 0 + 2 + 8 + 3 + 8 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 69028385697 and 69028385706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385633351 + ... + 385633529.

It is an arithmetic number, because the mean of its divisors is an integer number (344452500).

Almost surely, 269028385760 is an apocalyptic number.

69028385760 is a gapful number since it is divisible by the number (60) 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 69028385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760000).

69028385760 is an abundant number, since it is smaller than the sum of its proper divisors (195511134240).

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

69028385760 is a wasteful number, since it uses less digits than its factorization.

69028385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 69028385760 in words is "sixty-nine billion, twenty-eight million, three hundred eighty-five thousand, seven hundred sixty".