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378381528225 = 33521940517283
BaseRepresentation
bin1011000000110010100…
…10111110110010100001
31100011200001121012212000
411200121102332302201
522144411132400400
6445454233154213
736223434631341
oct5403122766241
91304601535760
10378381528225
1113651a5655a8
12613bb25b969
13298b1860ccc
1414456d78d21
159c98a30600
hex58194beca1

378381528225 has 96 divisors (see below), whose sum is σ = 731966246400. Its totient is φ = 191108808000.

The previous prime is 378381528199. The next prime is 378381528227. The reversal of 378381528225 is 522825183873.

378381528225 is a `hidden beast` number, since 37 + 8 + 3 + 81 + 528 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 378381528225 - 217 = 378381397153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378381528227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51950434 + ... + 51957716.

It is an arithmetic number, because the mean of its divisors is an integer number (7624648400).

Almost surely, 2378381528225 is an apocalyptic number.

It is an amenable number.

378381528225 is a deficient number, since it is larger than the sum of its proper divisors (353584718175).

378381528225 is a wasteful number, since it uses less digits than its factorization.

378381528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11361 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 378381528225 in words is "three hundred seventy-eight billion, three hundred eighty-one million, five hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 135 171 225 285 475 513 675 855 1425 2565 4051 4275 7283 12153 12825 20255 21849 36415 36459 60765 65547 76969 101275 109245 109377 138377 182075 182295 196641 230907 303825 327735 384845 415131 546225 546885 691885 692721 911475 983205 1154535 1245393 1638675 1924225 2075655 2078163 2734425 3459425 3463605 3736179 4916025 5772675 6226965 10378275 10390815 17318025 18680895 29503433 31134825 51954075 88510299 93404475 147517165 265530897 442551495 560565227 737585825 796592691 1327654485 1681695681 2212757475 2802826135 3982963455 5045087043 6638272425 8408478405 14014130675 15135261129 19914817275 25225435215 42042392025 75676305645 126127176075 378381528225