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383340202953813 = 32721597747772797
BaseRepresentation
bin101011100101001010101100…
…0101000000000110001010101
31212021021222001211221120110200
41113022111120220000301111
5400221121213424010223
63435144020314211113
7143513262405350100
oct12712253050006125
91767258054846420
10383340202953813
111011647379aa8a6
1236bb1a96423a99
13135b8a97a279a1
146a93a9c943737
152e4b8598c1a43
hex15ca558a00c55

383340202953813 has 72 divisors (see below), whose sum is σ = 644614234942392. Its totient is φ = 218882094988032.

The previous prime is 383340202953809. The next prime is 383340202953857. The reversal of 383340202953813 is 318359202043383.

383340202953813 is a `hidden beast` number, since 3 + 8 + 3 + 340 + 2 + 0 + 295 + 3 + 8 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111354369841764 + 271985833112049 = 10552458^2 + 16491993^2 .

It is not a de Polignac number, because 383340202953813 - 22 = 383340202953809 is a prime.

It is a super-2 number, since 2×3833402029538132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 383340202953813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383340202953803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5265842731 + ... + 5265915527.

It is an arithmetic number, because the mean of its divisors is an integer number (8952975485311).

Almost surely, 2383340202953813 is an apocalyptic number.

It is an amenable number.

383340202953813 is a deficient number, since it is larger than the sum of its proper divisors (261274031988579).

383340202953813 is a wasteful number, since it uses less digits than its factorization.

383340202953813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81891 (or 81881 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 383340202953813 in words is "three hundred eighty-three trillion, three hundred forty billion, two hundred two million, nine hundred fifty-three thousand, eight hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 1597 4791 7477 11179 14373 22431 33537 52339 67293 72797 78253 100611 157017 218391 234759 366373 471051 509579 655173 704277 1099119 1528737 3297357 3567053 4586211 10701159 11940769 32103477 35822307 83585383 107466921 116256809 250756149 348770427 544303169 585097681 752268447 813797663 1046311281 1632909507 1755293043 2441392989 3810122183 4898728521 5265879129 5696583641 7324178967 11430366549 17089750923 26670855281 34291099647 51269252769 80012565843 240037697529 869252160893 2607756482679 6084765126251 7823269448037 18254295378753 42593355883757 54762886136259 127780067651271 383340202953813