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41130273636 = 22341925932
BaseRepresentation
bin100110010011100011…
…100010101101100100
310221011102212101110000
4212103203202231210
51133213322224021
630521152301300
72654150362134
oct462343425544
9127142771400
1041130273636
1116496a70391
127b7a541830
133b562a292a
141dc274aac4
15110ad4cb26
hex9938e2b64

41130273636 has 135 divisors (see below), whose sum is σ = 113671281801. Its totient is φ = 12966604416.

The previous prime is 41130273631. The next prime is 41130273649. The reversal of 41130273636 is 63637203114.

The square root of 41130273636 is 202806.

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

41130273636 is a `hidden beast` number, since 4 + 1 + 13 + 0 + 2 + 7 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25290540900 + 15839732736 = 159030^2 + 125856^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 41130273636.

It is not an unprimeable number, because it can be changed into a prime (41130273631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69359356 + ... + 69359948.

Almost surely, 241130273636 is an apocalyptic number.

41130273636 is the 202806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130273636

41130273636 is an abundant number, since it is smaller than the sum of its proper divisors (72541008165).

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

41130273636 is an equidigital number, since it uses as much as digits as its factorization.

41130273636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 41130273636 by its sum of digits (36), we get a square (1480689850896 = 12168362).

41130273636 divided by its sum of digits (36) gives a square (1142507601 = 338012).

The spelling of 41130273636 in words is "forty-one billion, one hundred thirty million, two hundred seventy-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 593 684 722 1026 1083 1186 1444 1539 1779 2052 2166 2372 3078 3249 3558 4332 5337 6156 6498 7116 9747 10674 11267 12996 16011 19494 21348 22534 29241 32022 33801 38988 45068 48033 58482 64044 67602 96066 101403 116964 135204 192132 202806 214073 304209 351649 405612 428146 608418 642219 703298 856292 912627 1054947 1216836 1284438 1406596 1825254 1926657 2109894 2568876 3164841 3650508 3853314 4219788 5779971 6329682 6681331 7706628 9494523 11559942 12659364 13362662 17339913 18989046 20043993 23119884 26725324 28483569 34679826 37978092 40087986 56967138 60131979 69359652 80175972 113934276 120263958 126945289 180395937 240527916 253890578 360791874 380835867 507781156 541187811 721583748 761671734 1082375622 1142507601 1523343468 2164751244 2285015202 3427522803 4570030404 6855045606 10282568409 13710091212 20565136818 41130273636