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52578038205 = 325711143310589
BaseRepresentation
bin110000111101111001…
…010011000110111101
312000201020212002012100
4300331321103012331
51330134434210310
640053133455313
73540634644060
oct607571230675
9160636762170
1052578038205
1120330a28340
12a234341539
134c5bbc3614
14278ac968d7
15157ad87ec0
hexc3de531bd

52578038205 has 96 divisors (see below), whose sum is σ = 113713217280. Its totient is φ = 21833303040.

The previous prime is 52578038197. The next prime is 52578038231. The reversal of 52578038205 is 50283087525.

52578038205 is a `hidden beast` number, since 52 + 578 + 0 + 3 + 8 + 20 + 5 = 666.

It is not a de Polignac number, because 52578038205 - 23 = 52578038197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4960051 + ... + 4970639.

It is an arithmetic number, because the mean of its divisors is an integer number (1184512680).

Almost surely, 252578038205 is an apocalyptic number.

52578038205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52578038205 is an abundant number, since it is smaller than the sum of its proper divisors (61135179075).

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

52578038205 is a wasteful number, since it uses less digits than its factorization.

52578038205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 52578038205 in words is "fifty-two billion, five hundred seventy-eight million, thirty-eight thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 1433 3465 4299 7165 10031 10589 12897 15763 21495 30093 31767 47289 50155 52945 64485 74123 78815 90279 95301 110341 116479 141867 150465 158835 222369 236445 331023 349437 370615 451395 476505 551705 582395 667107 709335 815353 993069 1048311 1111845 1655115 1747185 2446059 3335535 4076765 4965345 5241555 7338177 12230295 15174037 36690885 45522111 75870185 106218259 136566333 166914407 227610555 318654777 500743221 531091295 682831665 834572035 955964331 1168400849 1502229663 1593273885 2503716105 3505202547 4779821655 5842004245 7511148315 10515607641 17526012735 52578038205