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11426632541532 = 223213173769183527
BaseRepresentation
bin1010011001000111100001…
…0111111010010101011100
31111110101010200001100002100
42212101320113322111130
52444203220412312112
640145153355325100
72256355415021115
oct246217027722534
944411120040070
1011426632541532
11370600a1a5a0a
121346684150790
1364b6b05863c0
142b70a284720c
1514c3762512dc
hexa64785fa55c

11426632541532 has 144 divisors (see below), whose sum is σ = 31326489754560. Its totient is φ = 3490999271424.

The previous prime is 11426632541497. The next prime is 11426632541551. The reversal of 11426632541532 is 23514523662411.

11426632541532 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 6 + 63 + 2 + 54 + 1 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62169553 + ... + 62353079.

It is an arithmetic number, because the mean of its divisors is an integer number (217545067740).

Almost surely, 211426632541532 is an apocalyptic number.

11426632541532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11426632541532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663244877280).

11426632541532 is an abundant number, since it is smaller than the sum of its proper divisors (19899857213028).

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

11426632541532 is a wasteful number, since it uses less digits than its factorization.

11426632541532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184492 (or 184487 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 11426632541532 in words is "eleven trillion, four hundred twenty-six billion, six hundred thirty-two million, five hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 769 1038 1538 1557 2076 2249 2307 3076 3114 4498 4614 6228 6747 6921 8996 9228 9997 13494 13842 19994 20241 26988 27684 29991 39988 40482 59982 80964 89973 119964 133037 179946 183527 266074 359892 367054 399111 532148 550581 734108 798222 1101162 1197333 1596444 1651743 1729481 2202324 2385851 2394666 3303486 3458962 4771702 4789332 5188443 6606972 6917924 7157553 9543404 10376886 14315106 15565329 20753772 21472659 28630212 31130658 31750171 42945318 62261316 63500342 85890636 95250513 127000684 141132263 190501026 282264526 285751539 381002052 412752223 423396789 564529052 571503078 825504446 846793578 1143006156 1238256669 1270190367 1651008892 1693587156 1834719419 2476513338 2540380734 3669438838 3714770007 4953026676 5080761468 5504158257 7338877676 7429540014 11008316514 14859080028 16512474771 22016633028 24415881499 33024949542 48831762998 66049899084 73247644497 97663525996 146495288994 219742933491 292990577988 317406459487 439485866982 634812918974 878971733964 952219378461 1269625837948 1904438756922 2856658135383 3808877513844 5713316270766 11426632541532