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205133053216 = 25713173407191
BaseRepresentation
bin1011111100001011100…
…0011111110100100000
3201121111002000210202111
42333002320133310200
511330103030200331
6234123053125104
720551250116510
oct2770270376440
9647432023674
10205133053216
1179aa6296043
123390a789794
13164618c5180
149cddad9840
155508e0ddb1
hex2fc2e1fd20

205133053216 has 96 divisors (see below), whose sum is σ = 499927534848. Its totient is φ = 80682255360.

The previous prime is 205133053199. The next prime is 205133053259. The reversal of 205133053216 is 612350331502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300181 + ... + 707371.

It is an arithmetic number, because the mean of its divisors is an integer number (5207578488).

Almost surely, 2205133053216 is an apocalyptic number.

205133053216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205133053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249963767424).

205133053216 is an abundant number, since it is smaller than the sum of its proper divisors (294794481632).

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

205133053216 is a wasteful number, since it uses less digits than its factorization.

205133053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407394 (or 407386 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 205133053216 its reverse (612350331502), we get a palindrome (817483384718).

The spelling of 205133053216 in words is "two hundred five billion, one hundred thirty-three million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 173 182 208 224 346 364 416 692 728 1211 1384 1456 2249 2422 2768 2912 4498 4844 5536 8996 9688 15743 17992 19376 31486 35984 38752 62972 71968 125944 251888 407191 503776 814382 1628764 2850337 3257528 5293483 5700674 6515056 10586966 11401348 13030112 21173932 22802696 37054381 42347864 45605392 70444043 74108762 84695728 91210784 140888086 148217524 169391456 281776172 296435048 493108301 563552344 592870096 915772559 986216602 1127104688 1185740192 1831545118 1972433204 2254209376 3663090236 3944866408 6410407913 7326180472 7889732816 12820815826 14652360944 15779465632 25641631652 29304721888 51283263304 102566526608 205133053216