Search a number
-
+
53946101169 = 3413121972
BaseRepresentation
bin110010001111011100…
…000010110110110001
312011020121002212210000
4302033130002312301
51340440200214134
640441004100213
73616556202612
oct621734026661
9164217085700
1053946101169
1120973193294
12a556534669
13511946c52c
14287a853c09
15160b01ee99
hexc8f702db1

53946101169 has 45 divisors (see below), whose sum is σ = 81620314171. Its totient is φ = 35508367440.

The previous prime is 53946101119. The next prime is 53946101179. The reversal of 53946101169 is 96110164935.

The square root of 53946101169 is 232263.

It is a perfect power (a square), and thus also a powerful number.

53946101169 is a `hidden beast` number, since 539 + 4 + 6 + 101 + 1 + 6 + 9 = 666.

53946101169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52856309025 + 1089792144 = 229905^2 + 33012^2 .

It is not a de Polignac number, because 53946101169 - 215 = 53946068401 is a prime.

It is a super-2 number, since 2×539461011692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53946101119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 273837979 + ... + 273838175.

Almost surely, 253946101169 is an apocalyptic number.

53946101169 is the 232263-rd square number.

53946101169 is the 116132-nd centered octagonal number.

It is an amenable number.

53946101169 is a deficient number, since it is larger than the sum of its proper divisors (27674213002).

53946101169 is an frugal number, since it uses more digits than its factorization.

53946101169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 53946101169 in words is "fifty-three billion, nine hundred forty-six million, one hundred one thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 131 197 393 591 1179 1773 3537 5319 10611 15957 17161 25807 38809 51483 77421 116427 154449 232263 349281 463347 696789 1047843 1390041 2090367 3143529 3380717 5083979 10142151 15251937 30426453 45755811 91279359 137267433 273838077 411802299 666001249 1998003747 5994011241 17982033723 53946101169