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201432200328 = 233106532
BaseRepresentation
bin1011101110011001001…
…0110111010010001000
3201020221011020000000000
42323212102313102020
511300013120402303
6232311531043000
720360451311112
oct2734622672210
9636834200000
10201432200328
1178477253537
12330572a0460
1315cc1c632a8
149a6c3b63b2
15538e079da3
hex2ee64b7488

201432200328 has 132 divisors (see below), whose sum is σ = 567393766485. Its totient is φ = 67041242784.

The previous prime is 201432200327. The next prime is 201432200341. The reversal of 201432200328 is 823002234102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

201432200328 is a `hidden beast` number, since 2 + 0 + 1 + 432 + 200 + 3 + 28 = 666.

201432200328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 185831690724 + 15600509604 = 431082^2 + 124902^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=317358.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201432200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 308471650 + ... + 308472302.

Almost surely, 2201432200328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201432200328

201432200328 is an abundant number, since it is smaller than the sum of its proper divisors (365961566157).

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

201432200328 is an frugal number, since it uses more digits than its factorization.

201432200328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Multiplying 201432200328 by its product of nonzero digits (4608), we get a square (928199579111424 = 304663682).

The spelling of 201432200328 in words is "two hundred one billion, four hundred thirty-two million, two hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 653 729 972 1306 1458 1944 1959 2187 2612 2916 3918 4374 5224 5832 5877 6561 7836 8748 11754 13122 15672 17496 17631 19683 23508 26244 35262 39366 47016 52488 52893 59049 70524 78732 105786 118098 141048 157464 158679 211572 236196 317358 423144 426409 472392 476037 634716 852818 952074 1269432 1279227 1428111 1705636 1904148 2558454 2856222 3411272 3808296 3837681 4284333 5116908 5712444 7675362 8568666 10233816 11424888 11513043 12852999 15350724 17137332 23026086 25705998 30701448 34274664 34539129 38558997 46052172 51411996 69078258 77117994 92104344 102823992 103617387 138156516 154235988 207234774 276313032 308471976 310852161 414469548 621704322 828939096 932556483 1243408644 1865112966 2486817288 2797669449 3730225932 5595338898 7460451864 8393008347 11190677796 16786016694 22381355592 25179025041 33572033388 50358050082 67144066776 100716100164 201432200328