Search a number
-
+
2065347561201 = 341616728114621
BaseRepresentation
bin11110000011100000010…
…011101100011011110001
321022110000121210220121120
4132003200103230123301
5232314312433424301
64220450234012453
7302134144416141
oct36034023543361
97273017726546
102065347561201
117269aa944811
12294340877129
1311c9b8b61252
1471d6b638921
1538acee3ce36
hex1e0e04ec6f1

2065347561201 has 64 divisors (see below), whose sum is σ = 2920557572352. Its totient is φ = 1296852480000.

The previous prime is 2065347561163. The next prime is 2065347561253. The reversal of 2065347561201 is 1021657435602.

It is not a de Polignac number, because 2065347561201 - 211 = 2065347559153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2065347561401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141251671 + ... + 141266291.

It is an arithmetic number, because the mean of its divisors is an integer number (45633712068).

Almost surely, 22065347561201 is an apocalyptic number.

It is an amenable number.

2065347561201 is a deficient number, since it is larger than the sum of its proper divisors (855210011151).

2065347561201 is a wasteful number, since it uses less digits than its factorization.

2065347561201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15074.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2065347561201 in words is "two trillion, sixty-five billion, three hundred forty-seven million, five hundred sixty-one thousand, two hundred one".

Divisors: 1 3 41 61 67 123 183 201 281 843 2501 2747 4087 7503 8241 11521 12261 14621 17141 18827 34563 43863 51423 56481 167567 502701 599461 702781 771907 891881 979607 1148447 1798383 2108343 2315721 2675643 2938821 3445341 4108501 12325503 36567121 40163887 47086327 59756027 109701363 120491661 141258981 168448541 179268081 250618561 275269567 505345623 751855683 825808701 2449997107 7349991321 10275361001 11286052247 16791443587 30826083003 33858156741 50374330761 688449187067 2065347561201