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1268693816 = 23132173191
BaseRepresentation
bin100101110011110…
…1011101100111000
310021102021022201212
41023213223230320
510044241200231
6325520302252
743303501535
oct11347535470
93242238655
101268693816
115a1165495
122b4a71988
13172ac6600
14c06d1d8c
15765a942b
hex4b9ebb38

1268693816 has 96 divisors (see below), whose sum is σ = 2751148800. Its totient is φ = 548221440.

The previous prime is 1268693759. The next prime is 1268693819. The reversal of 1268693816 is 6183968621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268693819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6642281 + ... + 6642471.

It is an arithmetic number, because the mean of its divisors is an integer number (28657800).

Almost surely, 21268693816 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 1268693816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375574400).

1268693816 is an abundant number, since it is smaller than the sum of its proper divisors (1482454984).

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

1268693816 is a wasteful number, since it uses less digits than its factorization.

1268693816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 223 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 1268693816 is about 35618.7284444574. The cubic root of 1268693816 is about 1082.5607433730.

The spelling of 1268693816 in words is "one billion, two hundred sixty-eight million, six hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 191 221 289 338 382 442 578 676 764 884 1156 1352 1528 1768 2312 2483 2873 3247 3757 4913 4966 5746 6494 7514 9826 9932 11492 12988 15028 19652 19864 22984 25976 30056 32279 39304 42211 48841 55199 63869 64558 84422 97682 110398 127738 129116 168844 195364 220796 255476 258232 337688 390728 441592 510952 548743 717587 830297 938383 1097486 1435174 1660594 1876766 2194972 2870348 3321188 3753532 4389944 5740696 6642376 7507064 9328631 12198979 18657262 24397958 37314524 48795916 74629048 97591832 158586727 317173454 634346908 1268693816