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1126769886 = 2331129149439
BaseRepresentation
bin100001100101001…
…0010010011011110
32220112012211201000
41003022102103132
54301423114021
6303450331130
736631246254
oct10312222336
92815184630
101126769886
11529039990
12275429aa6
1314c594658
14a990a5d4
1568dc2b26
hex432924de

1126769886 has 128 divisors (see below), whose sum is σ = 2851200000. Its totient is φ = 326712960.

The previous prime is 1126769881. The next prime is 1126769899. The reversal of 1126769886 is 6889676211.

It is a super-2 number, since 2×11267698862 = 2539220751992905992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126769881) 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, 2566455 + ... + 2566893.

It is an arithmetic number, because the mean of its divisors is an integer number (22275000).

Almost surely, 21126769886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126769886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600000).

1126769886 is an abundant number, since it is smaller than the sum of its proper divisors (1724430114).

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

1126769886 is a wasteful number, since it uses less digits than its factorization.

1126769886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1126769886 is about 33567.3931963744. The cubic root of 1126769886 is about 1040.5870348295.

The spelling of 1126769886 in words is "one billion, one hundred twenty-six million, seven hundred sixty-nine thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 149 174 198 261 297 298 319 439 447 522 594 638 783 878 894 957 1317 1341 1566 1639 1914 2634 2682 2871 3278 3951 4023 4321 4829 4917 5742 7902 8046 8613 8642 9658 9834 11853 12731 12963 14487 14751 17226 23706 25462 25926 28974 29502 38193 38889 43461 44253 47531 65411 76386 77778 86922 88506 95062 114579 116667 130383 130822 140041 142593 196233 229158 233334 260766 280082 285186 343737 392466 420123 427779 588699 687474 719521 840246 855558 1177398 1260369 1283337 1439042 1766097 1896919 2158563 2520738 2566674 3532194 3781107 3793838 4317126 5690757 6475689 7562214 11381514 12951378 17072271 19427067 20866109 34144542 38854134 41732218 51216813 62598327 102433626 125196654 187794981 375589962 563384943 1126769886