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769404346368 = 2133737120877
BaseRepresentation
bin10110011001001000001…
…00101010000000000000
32201112222010000111102220
423030210010222000000
5100101220003040433
61345243125211040
7106405362015450
oct13144404520000
92645863014386
10769404346368
11277336771339
12105147b60a80
135772937b108
142934cb85d60
15150322582b3
hexb32412a000

769404346368 has 224 divisors, whose sum is σ = 2408098637184. Its totient is φ = 213886697472.

The previous prime is 769404346273. The next prime is 769404346397. The reversal of 769404346368 is 863643404967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6304746 + ... + 6425622.

Almost surely, 2769404346368 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 769404346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204049318592).

769404346368 is an abundant number, since it is smaller than the sum of its proper divisors (1638694290816).

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

769404346368 is a wasteful number, since it uses less digits than its factorization.

769404346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120950 (or 120926 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 769404346368 in words is "seven hundred sixty-nine billion, four hundred four million, three hundred forty-six thousand, three hundred sixty-eight".