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41491245636 = 223217219972
BaseRepresentation
bin100110101001000100…
…100010101001000100
310222002121002122221100
4212221010202221010
51134433224330021
631021045220100
72666122524501
oct465104425104
9128077078840
1041491245636
11166617a9a55
12805b401630
133bb2ccac29
1420186724a8
15112c8a2626
hex9a9122a44

41491245636 has 81 divisors (see below), whose sum is σ = 111468825559. Its totient is φ = 13010343168.

The previous prime is 41491245617. The next prime is 41491245643. The reversal of 41491245636 is 63654219414.

The square root of 41491245636 is 203694.

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

41491245636 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 1 + 2 + 4 + 5 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4396485636 + 37094760000 = 66306^2 + 192600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41491245591 and 41491245600.

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 26 ways as a sum of consecutive naturals, for example, 20775790 + ... + 20777786.

Almost surely, 241491245636 is an apocalyptic number.

41491245636 is the 203694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41491245636

41491245636 is an abundant number, since it is smaller than the sum of its proper divisors (69977579923).

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

41491245636 is a wasteful number, since it uses less digits than its factorization.

41491245636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 41491245636 in words is "forty-one billion, four hundred ninety-one million, two hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 1997 2601 3468 3994 5202 5991 7988 10404 11982 17973 23964 33949 35946 67898 71892 101847 135796 203694 305541 407388 577133 611082 1154266 1222164 1731399 2308532 3462798 3988009 5194197 6925596 7976018 10388394 11964027 15952036 20776788 23928054 35892081 47856108 67796153 71784162 135592306 143568324 203388459 271184612 406776918 610165377 813553836 1152534601 1220330754 2305069202 2440661508 3457603803 4610138404 6915207606 10372811409 13830415212 20745622818 41491245636