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6869440512 = 2113211171993
BaseRepresentation
bin1100110010111001…
…10101100000000000
3122201202001201211200
412121130311200000
5103032034044022
63053351541200
7332142165234
oct63134654000
918652051750
106869440512
112a05690370
1213b868a800
138562528cc
144924925c4
152a3129bac
hex199735800

6869440512 has 288 divisors, whose sum is σ = 22928527440. Its totient is φ = 1958215680.

The previous prime is 6869440507. The next prime is 6869440547. The reversal of 6869440512 is 2150449686.

6869440512 is a `hidden beast` number, since 6 + 8 + 6 + 94 + 40 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 3445788 + ... + 3447780.

Almost surely, 26869440512 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 6869440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464263720).

6869440512 is an abundant number, since it is smaller than the sum of its proper divisors (16059086928).

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

6869440512 is a wasteful number, since it uses less digits than its factorization.

6869440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6869440512 is about 82882.0880045864. The cubic root of 6869440512 is about 1900.9635474691.

The spelling of 6869440512 in words is "six billion, eight hundred sixty-nine million, four hundred forty thousand, five hundred twelve".