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11312875044 = 22341923112
BaseRepresentation
bin10101000100100110…
…01100011000100100
31002012102011121010000
422202103030120210
5141132044000134
65110322101300
7550225564662
oct124223143044
932172147100
1011312875044
114885906509
1222387aa830
1310b39b2803
14794675c32
15463292e99
hex2a24cc624

11312875044 has 135 divisors (see below), whose sum is σ = 31313228331. Its totient is φ = 3560999760.

The previous prime is 11312875039. The next prime is 11312875087. The reversal of 11312875044 is 44057821311.

The square root of 11312875044 is 106362.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×113128750442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36375649 + ... + 36375959.

Almost surely, 211312875044 is an apocalyptic number.

11312875044 is the 106362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312875044

11312875044 is an abundant number, since it is smaller than the sum of its proper divisors (20000353287).

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

11312875044 is an equidigital number, since it uses as much as digits as its factorization.

11312875044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 11312875044 by its sum of digits (36), we get a square (407263501584 = 6381722).

11312875044 divided by its sum of digits (36) gives a square (314246529 = 177272).

The spelling of 11312875044 in words is "eleven billion, three hundred twelve million, eight hundred seventy-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 311 324 342 361 513 622 684 722 933 1026 1083 1244 1444 1539 1866 2052 2166 2799 3078 3249 3732 4332 5598 5909 6156 6498 8397 9747 11196 11818 12996 16794 17727 19494 23636 25191 29241 33588 35454 38988 50382 53181 58482 70908 96721 100764 106362 112271 116964 159543 193442 212724 224542 290163 319086 336813 386884 449084 478629 580326 638172 673626 870489 957258 1010439 1160652 1347252 1740978 1837699 1914516 2020878 2611467 3031317 3481956 3675398 4041756 5222934 5513097 6062634 7350796 7834401 9093951 10445868 11026194 12125268 15668802 16539291 18187902 22052388 31337604 33078582 34916281 36375804 49617873 66157164 69832562 99235746 104748843 139665124 148853619 198471492 209497686 297707238 314246529 418995372 595414476 628493058 942739587 1256986116 1885479174 2828218761 3770958348 5656437522 11312875044