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205061955824 = 24117322969697
BaseRepresentation
bin1011111011111010100…
…1010010000011110000
3201121022010020200110202
42332332221102003300
511324431330041244
6234112033214332
720546424602465
oct2767651220360
9647263220422
10205061955824
1179a6a145570
12338aaa013a8
131644cc60ccb
149cd44ad66c
155502a6804e
hex2fbea520f0

205061955824 has 80 divisors (see below), whose sum is σ = 441288705120. Its totient is φ = 91530362880.

The previous prime is 205061955821. The next prime is 205061955829. The reversal of 205061955824 is 428559160502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205061955821) 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, 2907344 + ... + 2977040.

It is an arithmetic number, because the mean of its divisors is an integer number (5516108814).

Almost surely, 2205061955824 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 205061955824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220644352560).

205061955824 is an abundant number, since it is smaller than the sum of its proper divisors (236226749296).

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

205061955824 is a wasteful number, since it uses less digits than its factorization.

205061955824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70018 (or 70012 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 205061955824 in words is "two hundred five billion, sixty-one million, nine hundred fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 229 292 458 584 803 916 1168 1606 1832 2519 3212 3664 5038 6424 10076 12848 16717 20152 33434 40304 66868 69697 133736 139394 183887 267472 278788 367774 557576 735548 766667 1115152 1471096 1533334 2942192 3066668 5087881 6133336 10175762 12266672 15960613 20351524 31921226 40703048 55966691 63842452 81406096 111933382 127684904 175566743 223866764 255369808 351133486 447733528 702266972 895467056 1165124749 1404533944 2330249498 2809067888 4660498996 9320997992 12816372239 18641995984 25632744478 51265488956 102530977912 205061955824