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11512114026 = 23717432571459
BaseRepresentation
bin10101011100010110…
…01110101101101010
31002201022001222121120
422232023032231222
5142034100122101
65142200320110
7555165232440
oct125613165552
932638058546
1011512114026
114978319726
122293473036
1311160615ba
147b2cdab90
154759ebb36
hex2ae2ceb6a

11512114026 has 128 divisors (see below), whose sum is σ = 28639733760. Its totient is φ = 3009871872.

The previous prime is 11512114001. The next prime is 11512114049. The reversal of 11512114026 is 62041121511.

It is a junction number, because it is equal to n+sod(n) for n = 11512113987 and 11512114005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7889685 + ... + 7891143.

It is an arithmetic number, because the mean of its divisors is an integer number (223747920).

Almost surely, 211512114026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512114026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319866880).

11512114026 is an abundant number, since it is smaller than the sum of its proper divisors (17127619734).

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

11512114026 is a wasteful number, since it uses less digits than its factorization.

11512114026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11512114026 its reverse (62041121511), we get a palindrome (73553235537).

The spelling of 11512114026 in words is "eleven billion, five hundred twelve million, one hundred fourteen thousand, twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 257 258 301 357 514 602 714 731 771 903 1459 1462 1542 1799 1806 2193 2918 3598 4369 4377 4386 5117 5397 8738 8754 10213 10234 10794 11051 13107 15351 20426 22102 24803 26214 30583 30639 30702 33153 49606 61166 61278 62737 66306 74409 77357 91749 125474 148818 154714 173621 183498 187867 188211 232071 347242 374963 375734 376422 439159 464142 520863 563601 749926 878318 1041726 1066529 1124889 1127202 1315069 1317477 2133058 2249778 2624741 2630138 2634954 3199587 3945207 5249482 6374371 6399174 7465703 7874223 7890414 12748742 14931406 15748446 16123409 19123113 22397109 32246818 38246226 44620597 44794218 48370227 89241194 96740454 112863863 133861791 225727726 267723582 274097953 338591589 548195906 677183178 822293859 1644587718 1918685671 3837371342 5756057013 11512114026