Search a number
-
+
2666520144 = 243237500473
BaseRepresentation
bin1001111011101111…
…1101111001010000
320212211112020222100
42132323331321100
520430112121034
61120332440400
7123036022131
oct23673757120
96784466870
102666520144
1111491aa062
12625019100
13336593892
141b41d9c88
15109170099
hex9eefde50

2666520144 has 60 divisors (see below), whose sum is σ = 7664258836. Its totient is φ = 864815616.

The previous prime is 2666520133. The next prime is 2666520161. The reversal of 2666520144 is 4410256662.

It can be written as a sum of positive squares in 2 ways, for example, as 2309763600 + 356756544 = 48060^2 + 18888^2 .

It is a super-2 number, since 2×26665201442 = 14220659356715561472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2666520099 and 2666520108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244909 + ... + 255564.

Almost surely, 22666520144 is an apocalyptic number.

2666520144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2666520144 is an abundant number, since it is smaller than the sum of its proper divisors (4997738692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2666520144 is a wasteful number, since it uses less digits than its factorization.

2666520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500524 (or 500515 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2666520144 is about 51638.3592303241. The cubic root of 2666520144 is about 1386.6971499504.

The spelling of 2666520144 in words is "two billion, six hundred sixty-six million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 500473 1000946 1501419 2001892 3002838 4003784 4504257 6005676 8007568 9008514 12011352 18017028 18517501 24022704 36034056 37035002 55552503 72068112 74070004 111105006 148140008 166657509 222210012 296280016 333315018 444420024 666630036 888840048 1333260072 2666520144