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55645267338 = 23229127783477
BaseRepresentation
bin110011110100101101…
…110110010110001010
312022122000101110120100
4303310231312112022
51402430142023323
641321343110230
74006640653053
oct636455662612
9168560343510
1055645267338
1121665336a51
12a94b5a2376
13532a4b63bb
14299c39d72a
1516aa2ab943
hexcf4b7658a

55645267338 has 48 divisors (see below), whose sum is σ = 124821314280. Its totient is φ = 17894583168.

The previous prime is 55645267331. The next prime is 55645267351. The reversal of 55645267338 is 83376254655.

55645267338 is a `hidden beast` number, since 5 + 5 + 6 + 45 + 267 + 338 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55504061649 + 141205689 = 235593^2 + 11883^2 .

It is not an unprimeable number, because it can be changed into a prime (55645267331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624856 + ... + 708332.

Almost surely, 255645267338 is an apocalyptic number.

55645267338 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

55645267338 is an abundant number, since it is smaller than the sum of its proper divisors (69176046942).

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

55645267338 is a wasteful number, since it uses less digits than its factorization.

55645267338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84791 (or 84788 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 55645267338 in words is "fifty-five billion, six hundred forty-five million, two hundred sixty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 1277 2554 3831 7662 11493 22986 37033 74066 83477 111099 166954 222198 250431 333297 500862 666594 751293 1502586 2420833 4841666 7262499 14524998 21787497 43574994 106600129 213200258 319800387 639600774 959401161 1918802322 3091403741 6182807482 9274211223 18548422446 27822633669 55645267338