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11552332100164 = 22192913798338921
BaseRepresentation
bin1010100000011011110010…
…1001101011001001000100
31111220101120212221112011221
42220012330221223021010
53003233134004201124
640323022413210124
72301425362443412
oct250067451531104
944811525845157
1011552332100164
113754353335869
121366b04790944
1365a4c351586b
142bd1c8b122b2
15150781794ce4
hexa81bca6b244

11552332100164 has 96 divisors (see below), whose sum is σ = 22198244140800. Its totient is φ = 5239426590720.

The previous prime is 11552332100143. The next prime is 11552332100171. The reversal of 11552332100164 is 46100123325511.

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 31 ways as a sum of consecutive naturals, for example, 296795424 + ... + 296834344.

It is an arithmetic number, because the mean of its divisors is an integer number (231231709800).

Almost surely, 211552332100164 is an apocalyptic number.

It is an amenable number.

11552332100164 is a deficient number, since it is larger than the sum of its proper divisors (10645912040636).

11552332100164 is a wasteful number, since it uses less digits than its factorization.

11552332100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40093 (or 40091 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 11552332100164 its reverse (46100123325511), we get a palindrome (57652455425675).

The spelling of 11552332100164 in words is "eleven trillion, five hundred fifty-two billion, three hundred thirty-two million, one hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 19 29 38 58 76 116 137 274 548 551 983 1102 1966 2204 2603 3932 3973 5206 7946 10412 15892 18677 28507 37354 38921 57014 74708 75487 77842 114028 134671 150974 155684 269342 301948 538684 541633 739499 1083266 1128709 1478998 2166532 2257418 2558749 2957996 3905459 4514836 5117498 5332177 7810918 10234996 10664354 15621836 21328708 21445471 38259343 42890942 74203721 76518686 85781884 101311363 148407442 153037372 154633133 202622726 296814884 309266266 405245452 618532532 726927517 1109520947 1453855034 2219041894 2907710068 2938029527 4438083788 5241529991 5876059054 10483059982 11752118108 20966119964 21080897993 42161795986 84323591972 99589069829 152004369739 199178139658 304008739478 398356279316 608017478956 2888083025041 5776166050082 11552332100164