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205447212672 = 2731389462419
BaseRepresentation
bin1011111101010110011…
…0111010111010000000
3201122021222011202111220
42333111212322322000
511331223441301142
6234214154435040
720562113331342
oct2772546727200
9648258152456
10205447212672
117a147660759
1233997a32a80
13164b1a0cb40
149d2d717292
1555267b82ec
hex2fd59bae80

205447212672 has 128 divisors (see below), whose sum is σ = 594302184000. Its totient is φ = 62504116224.

The previous prime is 205447212587. The next prime is 205447212679. The reversal of 205447212672 is 276212744502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (205447212679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213079 + ... + 675497.

Almost surely, 2205447212672 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 205447212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297151092000).

205447212672 is an abundant number, since it is smaller than the sum of its proper divisors (388854971328).

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

205447212672 is a wasteful number, since it uses less digits than its factorization.

205447212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462538 (or 462526 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 205447212672 in words is "two hundred five billion, four hundred forty-seven million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 267 312 356 384 416 534 624 712 832 1068 1157 1248 1424 1664 2136 2314 2496 2848 3471 4272 4628 4992 5696 6942 8544 9256 11392 13884 17088 18512 27768 34176 37024 55536 74048 111072 148096 222144 444288 462419 924838 1387257 1849676 2774514 3699352 5549028 6011447 7398704 11098056 12022894 14797408 18034341 22196112 24045788 29594816 36068682 41155291 44392224 48091576 59189632 72137364 82310582 88784448 96183152 123465873 144274728 164621164 177568896 192366304 246931746 288549456 329242328 384732608 493863492 535018783 577098912 658484656 769465216 987726984 1070037566 1154197824 1316969312 1605056349 1975453968 2140075132 2308395648 2633938624 3210112698 3950907936 4280150264 5267877248 6420225396 7901815872 8560300528 12840450792 15803631744 17120601056 25680901584 34241202112 51361803168 68482404224 102723606336 205447212672