Search a number
-
+
204786844101 = 3272601772661
BaseRepresentation
bin1011111010111000111…
…1110100000111000101
3201120120221120120010200
42332232033310013011
511323400413002401
6234024444441113
720536544311500
oct2765617640705
9646527516120
10204786844101
1179938920004
1233832849199
1316407c685c8
149ca9b38137
1554d8823686
hex2fae3f41c5

204786844101 has 36 divisors (see below), whose sum is σ = 344670610284. Its totient is φ = 116826192000.

The previous prime is 204786844063. The next prime is 204786844109. The reversal of 204786844101 is 101448687402.

It can be written as a sum of positive squares in 2 ways, for example, as 77247864225 + 127538979876 = 277935^2 + 357126^2 .

It is not a de Polignac number, because 204786844101 - 214 = 204786827717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204786844109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121290 + ... + 651371.

It is an arithmetic number, because the mean of its divisors is an integer number (9574183619).

Almost surely, 2204786844101 is an apocalyptic number.

204786844101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204786844101 is a deficient number, since it is larger than the sum of its proper divisors (139883766183).

204786844101 is a wasteful number, since it uses less digits than its factorization.

204786844101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773282 (or 773272 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 204786844101 in words is "two hundred four billion, seven hundred eighty-six million, eight hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 601 1803 4207 5409 12621 29449 37863 88347 265041 772661 2317983 5408627 6953949 16225881 37860389 48677643 113581167 340743501 464369261 1393107783 3250584827 4179323349 9751754481 22754093789 29255263443 68262281367 204786844101