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69826680087696 = 24327231232092
BaseRepresentation
bin11111110000001110010100…
…11101100110010010010000
3100011020100212101121222011100
433320013022131212102100
533123020020100301241
6404301533424144400
720464545140500200
oct1770071235462220
9304210771558140
1069826680087696
1120281368593784
1279b8a65a68100
132cc682101808c
1413358b4d0c400
158115439b29b6
hex3f81ca766490

69826680087696 has 405 divisors, whose sum is σ = 234965414790873. Its totient is φ = 19300899663360.

The previous prime is 69826680087667. The next prime is 69826680087713. The reversal of 69826680087696 is 69678008662896.

The square root of 69826680087696 is 8356236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39350980657296 + 30475699430400 = 6273036^2 + 5520480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21759636940 + ... + 21759640148.

Almost surely, 269826680087696 is an apocalyptic number.

69826680087696 is the 8356236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69826680087696

69826680087696 is an abundant number, since it is smaller than the sum of its proper divisors (165138734703177).

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

69826680087696 is an equidigital number, since it uses as much as digits as its factorization.

69826680087696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 69826680087696 in words is "sixty-nine trillion, eight hundred twenty-six billion, six hundred eighty million, eighty-seven thousand, six hundred ninety-six".