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69078579768 = 2332112922313487
BaseRepresentation
bin100000001010101100…
…1110111101000111000
320121022012112102221100
41000111121313220320
52112433104023033
651422333411400
74663555145202
oct1002531675070
9217265472840
1069078579768
112732906a450
121147a339b60
13668b591293
1434b44c1772
151be47a2513
hex1015677a38

69078579768 has 192 divisors, whose sum is σ = 212096102400. Its totient is φ = 20118954240.

The previous prime is 69078579767. The next prime is 69078579781. The reversal of 69078579768 is 86797587096.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 69078579696 and 69078579705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69078579763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5115121 + ... + 5128607.

It is an arithmetic number, because the mean of its divisors is an integer number (1104667200).

Almost surely, 269078579768 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 69078579768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106048051200).

69078579768 is an abundant number, since it is smaller than the sum of its proper divisors (143017522632).

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

69078579768 is a wasteful number, since it uses less digits than its factorization.

69078579768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

It can be divided in two parts, 690785797 and 68, that added together give a triangular number (690785865 = T37169).

The spelling of 69078579768 in words is "sixty-nine billion, seventy-eight million, five hundred seventy-nine thousand, seven hundred sixty-eight".