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69085661568 = 273711232931113
BaseRepresentation
bin100000001010111010…
…0111000100110000000
320121022200212020100020
41000111310320212000
52112441412132233
651423145253440
74664002301640
oct1002564704600
9217280766306
1069085661568
1127332067080
1211480794280
13668cba07b1
1434b5406520
151be52009b3
hex1015d38980

69085661568 has 1024 divisors, whose sum is σ = 257192755200. Its totient is φ = 15895756800.

The previous prime is 69085661503. The next prime is 69085661573. The reversal of 69085661568 is 86516658096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 611377480 + ... + 611377592.

It is an arithmetic number, because the mean of its divisors is an integer number (251164800).

Almost surely, 269085661568 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 69085661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128596377600).

69085661568 is an abundant number, since it is smaller than the sum of its proper divisors (188107093632).

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

69085661568 is a wasteful number, since it uses less digits than its factorization.

69085661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 69085661568 in words is "sixty-nine billion, eighty-five million, six hundred sixty-one thousand, five hundred sixty-eight".