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204460215432 = 2331117231980743
BaseRepresentation
bin1011111001101011000…
…1110100110010001000
3201112202011222002211120
42332122301310302020
511322213303343212
6233532215555240
720525500104354
oct2763261646210
9645664862746
10204460215432
1179790509060
123376138bb20
13163853a61c5
149c785d2464
1554b9d0488c
hex2f9ac74c88

204460215432 has 128 divisors (see below), whose sum is σ = 616090613760. Its totient is φ = 55777694720.

The previous prime is 204460215413. The next prime is 204460215457. The reversal of 204460215432 is 234512064402.

204460215432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 204460215393 and 204460215402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 887148 + ... + 1093595.

It is an arithmetic number, because the mean of its divisors is an integer number (4813207920).

Almost surely, 2204460215432 is an apocalyptic number.

204460215432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

204460215432 is an abundant number, since it is smaller than the sum of its proper divisors (411630398328).

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

204460215432 is a wasteful number, since it uses less digits than its factorization.

204460215432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980803 (or 1980799 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 204460215432 its reverse (234512064402), we get a palindrome (438972279834).

The spelling of 204460215432 in words is "two hundred four billion, four hundred sixty million, two hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 1012 1122 1173 1496 1518 1564 2024 2244 2346 3036 3128 4301 4488 4692 6072 8602 9384 12903 17204 25806 34408 51612 103224 1980743 3961486 5942229 7922972 11884458 15845944 21788173 23768916 33672631 43576346 45557089 47537832 65364519 67345262 87152692 91114178 101017893 130729038 134690524 136671267 174305384 182228356 202035786 261458076 269381048 273342534 364456712 370398941 404071572 501127979 522916152 546685068 740797882 774470513 808143144 1002255958 1093370136 1111196823 1481595764 1503383937 1548941026 2004511916 2222393646 2323411539 2963191528 3006767874 3097882052 4009023832 4444787292 4646823078 6013535748 6195764104 8519175643 8889574584 9293646156 12027071496 17038351286 18587292312 25557526929 34076702572 51115053858 68153405144 102230107716 204460215432