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69985126656 = 283347367587
BaseRepresentation
bin100000100101101110…
…0000100100100000000
320200122101100210111000
41001023130010210000
52121312143023111
652052320052000
75025203522064
oct1011334044400
9220571323430
1069985126656
1127753863555
1211691a64000
1367a433a863
14355ca63aa4
151c49173c56
hex104b704900

69985126656 has 288 divisors, whose sum is σ = 212298670080. Its totient is φ = 22731024384.

The previous prime is 69985126649. The next prime is 69985126667. The reversal of 69985126656 is 65662158996.

69985126656 is a `hidden beast` number, since 6 + 9 + 9 + 8 + 512 + 66 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 69985126593 and 69985126602.

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 31 ways as a sum of consecutive naturals, for example, 119224795 + ... + 119225381.

It is an arithmetic number, because the mean of its divisors is an integer number (737148160).

Almost surely, 269985126656 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 69985126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106149335040).

69985126656 is an abundant number, since it is smaller than the sum of its proper divisors (142313543424).

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

69985126656 is a wasteful number, since it uses less digits than its factorization.

69985126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1006 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 69985126656 in words is "sixty-nine billion, nine hundred eighty-five million, one hundred twenty-six thousand, six hundred fifty-six".