Search a number
-
+
205322100064 = 25172953245563
BaseRepresentation
bin1011111100111000100…
…1101001110101100000
3201121222020202101021121
42333032021221311200
511330444424200224
6234153525102024
720556034024504
oct2771611516540
9647866671247
10205322100064
117a092a77804
1233961b57914
1316491b15b03
149d1ac6a304
15551a802be4
hex2fce269d60

205322100064 has 96 divisors (see below), whose sum is σ = 451120713120. Its totient is φ = 91529797632.

The previous prime is 205322100043. The next prime is 205322100083. The reversal of 205322100064 is 460001223502.

It is a congruent number.

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, 713347 + ... + 958909.

It is an arithmetic number, because the mean of its divisors is an integer number (4699174095).

Almost surely, 2205322100064 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 205322100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225560356560).

205322100064 is an abundant number, since it is smaller than the sum of its proper divisors (245798613056).

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

205322100064 is a wasteful number, since it uses less digits than its factorization.

205322100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245672 (or 245664 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 205322100064 its reverse (460001223502), we get a palindrome (665323323566).

The spelling of 205322100064 in words is "two hundred five billion, three hundred twenty-two million, one hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 53 58 68 106 116 136 212 232 272 424 464 493 544 848 901 928 986 1537 1696 1802 1972 3074 3604 3944 6148 7208 7888 12296 14416 15776 24592 26129 28832 49184 52258 104516 209032 245563 418064 491126 836128 982252 1964504 3929008 4174571 7121327 7858016 8349142 13014839 14242654 16698284 26029678 28485308 33396568 52059356 56970616 66793136 104118712 113941232 121062559 133586272 208237424 221252263 227882464 242125118 377430331 416474848 442504526 484250236 754860662 885009052 968500472 1509721324 1770018104 1937000944 3019442648 3540036208 3874001888 6038885296 6416315627 7080072416 12077770592 12832631254 25665262508 51330525016 102661050032 205322100064