Search a number
-
+
204128891712 = 26322331520989
BaseRepresentation
bin1011111000011100000…
…1111011001101000000
3201111220002112010010200
42332013001323031000
511321023444013322
6233435302325200
720514334644114
oct2760701731500
9644802463120
10204128891712
117963048a6a9
123368a429800
131633185ba75
149c465c7744
15549aba98ac
hex2f8707b340

204128891712 has 84 divisors (see below), whose sum is σ = 587610150660. Its totient is φ = 67750889472.

The previous prime is 204128891711. The next prime is 204128891749. The reversal of 204128891712 is 217198821402.

204128891712 is a `hidden beast` number, since 2 + 0 + 412 + 88 + 91 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50452347456 + 153676544256 = 224616^2 + 392016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204128891711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626287 + ... + 894702.

Almost surely, 2204128891712 is an apocalyptic number.

It is an amenable number.

204128891712 is an abundant number, since it is smaller than the sum of its proper divisors (383481258948).

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

204128891712 is a wasteful number, since it uses less digits than its factorization.

204128891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521240 (or 1521227 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 204128891712 in words is "two hundred four billion, one hundred twenty-eight million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 576 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 14912 16776 22368 33552 44736 67104 134208 1520989 3041978 4562967 6083956 9125934 12167912 13688901 18251868 24335824 27377802 36503736 48671648 54755604 73007472 97343296 109511208 146014944 219022416 292029888 354390437 438044832 708780874 876089664 1063171311 1417561748 2126342622 2835123496 3189513933 4252685244 5670246992 6379027866 8505370488 11340493984 12758055732 17010740976 22680987968 25516111464 34021481952 51032222928 68042963904 102064445856 204128891712