Search a number
-
+
4146589051 = 11217219792
BaseRepresentation
bin1111011100100111…
…1110110101111011
3101200222112112211021
43313021332311323
531443011322201
61523243443311
7204520265623
oct36711766573
911628475737
104146589051
111838706800
12978826537
135110c7bb7
142b49d1883
1519407dea1
hexf727ed7b

4146589051 has 54 divisors (see below), whose sum is σ = 5161855020. Its totient is φ = 3318606720.

The previous prime is 4146589049. The next prime is 4146589061. The reversal of 4146589051 is 1509856414.

It is not a de Polignac number, because 4146589051 - 21 = 4146589049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4146588989 and 4146589007.

It is not an unprimeable number, because it can be changed into a prime (4146589061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52488430 + ... + 52488508.

Almost surely, 24146589051 is an apocalyptic number.

4146589051 is a deficient number, since it is larger than the sum of its proper divisors (1015265969).

4146589051 is a wasteful number, since it uses less digits than its factorization.

4146589051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 4146589051 is about 64394.0140929264. The cubic root of 4146589051 is about 1606.5601817642.

The spelling of 4146589051 in words is "four billion, one hundred forty-six million, five hundred eighty-nine thousand, fifty-one".

Divisors: 1 11 17 19 79 121 187 209 289 323 869 1343 1501 2057 2299 3179 3553 5491 6241 9559 14773 16511 22831 25517 34969 39083 60401 68651 106097 118579 162503 181621 251141 280687 433789 664411 755161 1167067 1304369 1803649 2015843 2762551 3087557 4771679 12837737 14348059 19840139 22174273 34269331 52488469 218241529 243917003 376962641 4146589051