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780068338056 = 233373131353171
BaseRepresentation
bin10110101100111111011…
…00100011100110001000
32202120111022012101221000
423112133230203212020
5100240034443304211
61354205231415000
7110233551320310
oct13263754434610
92676438171830
10780068338056
11280909271107
12107223384460
13587387aac77
1429a8118c440
1515458574656
hexb59fb23988

780068338056 has 256 divisors, whose sum is σ = 2564506828800. Its totient is φ = 214993958400.

The previous prime is 780068338051. The next prime is 780068338073. The reversal of 780068338056 is 650833860087.

It is a happy number.

It is a super-2 number, since 2×7800683380562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 780068337993 and 780068338011.

It is not an unprimeable number, because it can be changed into a prime (780068338051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14644351 + ... + 14697521.

It is an arithmetic number, because the mean of its divisors is an integer number (10017604800).

Almost surely, 2780068338056 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 780068338056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282253414400).

780068338056 is an abundant number, since it is smaller than the sum of its proper divisors (1784438490744).

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

780068338056 is a wasteful number, since it uses less digits than its factorization.

780068338056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53537 (or 53527 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 780068338056 in words is "seven hundred eighty billion, sixty-eight million, three hundred thirty-eight thousand, fifty-six".