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1268936711744 = 26132958399007
BaseRepresentation
bin10010011101110010100…
…001011001111001000000
311111022100101021220120112
4102131302201121321000
5131242240244233434
62410535205330452
7160451302040642
oct22356241317100
94438311256515
101268936711744
1144a175768a39
12185b18406a28
13928776665c0
14455b9c3a892
152301bcb7dce
hex12772859e40

1268936711744 has 112 divisors (see below), whose sum is σ = 2806042444800. Its totient is φ = 565308205056.

The previous prime is 1268936711639. The next prime is 1268936711753. The reversal of 1268936711744 is 4471176398621.

It is a super-2 number, since 2×12689367117442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140878889 + ... + 140887895.

It is an arithmetic number, because the mean of its divisors is an integer number (25053950400).

Almost surely, 21268936711744 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 1268936711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403021222400).

1268936711744 is an abundant number, since it is smaller than the sum of its proper divisors (1537105733056).

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

1268936711744 is a wasteful number, since it uses less digits than its factorization.

1268936711744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14900 (or 14890 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 59.

The spelling of 1268936711744 in words is "one trillion, two hundred sixty-eight billion, nine hundred thirty-six million, seven hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 5839 6032 9007 11678 12064 18014 23356 24128 36028 46712 72056 75907 93424 117091 144112 151814 169331 186848 234182 261203 288224 303628 338662 373696 468364 522406 576448 607256 677324 936728 1044812 1214512 1354648 1873456 2089624 2201303 2429024 2709296 3395639 3746912 4179248 4402606 4858048 5418592 6791278 7493824 8358496 8805212 10837184 13582556 16716992 17610424 27165112 35220848 52591873 54330224 70441696 105183746 108660448 140883392 210367492 217320896 420734984 683694349 841469968 1367388698 1525164317 1682939936 2734777396 3050328634 3365879872 5469554792 6100657268 10939109584 12201314536 19827136121 21878219168 24402629072 39654272242 43756438336 48805258144 79308544484 97610516288 158617088968 317234177936 634468355872 1268936711744