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11282631426 = 235117272903
BaseRepresentation
bin10101000000111111…
…10100101100000010
31002010022021001200000
422200133310230002
5141101323201201
65103321540430
7546410533113
oct124037645402
932108231600
1011282631426
11486a829a90
12222a644716
1310aa653991
1479064220a
154607bbd86
hex2a07f4b02

11282631426 has 96 divisors (see below), whose sum is σ = 27703323648. Its totient is φ = 3413100240.

The previous prime is 11282631403. The next prime is 11282631449. The reversal of 11282631426 is 62413628211.

It is a happy number.

11282631426 is a `hidden beast` number, since 1 + 12 + 8 + 2 + 631 + 4 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11282631403) and next prime (11282631449).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3885091 + ... + 3887993.

It is an arithmetic number, because the mean of its divisors is an integer number (288576288).

Almost surely, 211282631426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11282631426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851661824).

11282631426 is an abundant number, since it is smaller than the sum of its proper divisors (16420692222).

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

11282631426 is a wasteful number, since it uses less digits than its factorization.

11282631426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3646 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 11282631426 in words is "eleven billion, two hundred eighty-two million, six hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 727 891 1454 1782 2181 2673 2903 4362 5346 5806 6543 7997 8709 13086 15994 17418 19629 23991 26127 31933 39258 47982 52254 58887 63866 71973 78381 95799 117774 143946 156762 176661 191598 215919 235143 287397 353322 431838 470286 574794 647757 705429 862191 1295514 1410858 1724382 1943271 2110481 2586573 3886542 4220962 5173146 6331443 7759719 12662886 15519438 18994329 23215291 37988658 46430582 56982987 69645873 113965974 139291746 170948961 208937619 341897922 417875238 512846883 626812857 1025693766 1253625714 1880438571 3760877142 5641315713 11282631426