Search a number
-
+
4540764177 = 34617312589
BaseRepresentation
bin1000011101010011…
…01001000000010001
3102201110020201110000
410032221221000101
533244413423202
62030324200213
7220344600345
oct41651510021
912643221400
104540764177
111a20163374
12a68839069
1357497a111
143110bb625
151b899191c
hex10ea69011

4540764177 has 40 divisors (see below), whose sum is σ = 6989313320. Its totient is φ = 2936528640.

The previous prime is 4540764139. The next prime is 4540764197. The reversal of 4540764177 is 7714670454.

It can be written as a sum of positive squares in 4 ways, for example, as 67963536 + 4472800641 = 8244^2 + 66879^2 .

It is not a de Polignac number, because 4540764177 - 26 = 4540764113 is a prime.

It is a super-2 number, since 2×45407641772 = 41237078622252974658, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4540764127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 354399 + ... + 366987.

It is an arithmetic number, because the mean of its divisors is an integer number (174732833).

Almost surely, 24540764177 is an apocalyptic number.

It is an amenable number.

4540764177 is a deficient number, since it is larger than the sum of its proper divisors (2448549143).

4540764177 is a wasteful number, since it uses less digits than its factorization.

4540764177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4540764177 is about 67385.1925648358. The cubic root of 4540764177 is about 1655.9338446319.

The spelling of 4540764177 in words is "four billion, five hundred forty million, seven hundred sixty-four thousand, one hundred seventy-seven".

Divisors: 1 3 9 27 61 73 81 183 219 549 657 1647 1971 4453 4941 5913 12589 13359 37767 40077 113301 120231 339903 360693 767929 918997 1019709 2303787 2756991 6911361 8270973 20734083 24812919 56058817 62202249 74438757 168176451 504529353 1513588059 4540764177