Search a number
-
+
328740194475 = 325271129654307
BaseRepresentation
bin1001100100010100111…
…00010100100010101011
31011102112110200011211100
410302022130110202223
520341224442210400
6411004323132443
732515326355650
oct4621234244253
91142473604740
10328740194475
111174662a6840
1253866514123
13250001bcc44
1411ca812dc27
1588408d7100
hex4c8a7148ab

328740194475 has 144 divisors (see below), whose sum is σ = 759416037120. Its totient is φ = 131908089600.

The previous prime is 328740194407. The next prime is 328740194479. The reversal of 328740194475 is 574491047823.

328740194475 is a `hidden beast` number, since 3 + 2 + 87 + 4 + 0 + 1 + 94 + 475 = 666.

It is not a de Polignac number, because 328740194475 - 29 = 328740193963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (328740194479) 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 143 ways as a sum of consecutive naturals, for example, 175272 + ... + 829578.

It is an arithmetic number, because the mean of its divisors is an integer number (5273722480).

Almost surely, 2328740194475 is an apocalyptic number.

328740194475 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

328740194475 is an abundant number, since it is smaller than the sum of its proper divisors (430675842645).

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

328740194475 is a wasteful number, since it uses less digits than its factorization.

328740194475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654370 (or 654362 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 328740194475 in words is "three hundred twenty-eight billion, seven hundred forty million, one hundred ninety-four thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 29 33 35 45 55 63 75 77 87 99 105 145 165 175 203 225 231 261 275 315 319 385 435 495 525 609 693 725 825 957 1015 1155 1305 1575 1595 1827 1925 2175 2233 2475 2871 3045 3465 4785 5075 5775 6525 6699 7975 9135 11165 14355 15225 17325 20097 23925 33495 45675 55825 71775 100485 167475 502425 654307 1962921 3271535 4580149 5888763 7197377 9814605 13740447 16357675 18974903 21592131 22900745 29443815 35986885 41221341 49073025 50381639 56924709 64776393 68702235 94874515 107960655 114503725 132824321 147219075 151144917 170774127 179934425 206106705 208723933 251908195 284623545 323881965 343511175 398472963 453434751 474372575 539803275 626171799 664121605 755724585 853870635 1030533525 1043619665 1195418889 1259540975 1423117725 1461067531 1619409825 1878515397 1992364815 2267173755 3130858995 3320608025 3778622925 4269353175 4383202593 5218098325 5977094445 7305337655 9392576985 9961824075 11335868775 13149607779 15654294975 21916012965 29885472225 36526688275 46962884925 65748038895 109580064825 328740194475