Search a number
-
+
618200070049 = 41212721512
BaseRepresentation
bin10001111111011111001…
…10000111011110100001
32012002200102111102000201
420333233212013132201
540112033204220144
61151555220545201
762443400615512
oct10775746073641
92162612442021
10618200070049
112191a4906601
129b989b52201
13463b046ac23
1421cc74b0a09
1511132a961d4
hex8fef9877a1

618200070049 has 27 divisors (see below), whose sum is σ = 642932144883. Its totient is φ = 594410292000.

The previous prime is 618200070011. The next prime is 618200070133. The reversal of 618200070049 is 940070002816.

The square root of 618200070049 is 786257.

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

It can be written as a sum of positive squares in only one way, i.e., 29788343649 + 588411726400 = 172593^2 + 767080^2 .

It is not a de Polignac number, because 618200070049 - 211 = 618200068001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (618200070349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4094040124 + ... + 4094040274.

Almost surely, 2618200070049 is an apocalyptic number.

618200070049 is the 786257-th square number.

618200070049 is the 393129-th centered octagonal number.

It is an amenable number.

618200070049 is a deficient number, since it is larger than the sum of its proper divisors (24732074834).

618200070049 is an frugal number, since it uses more digits than its factorization.

618200070049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 618200070049 in words is "six hundred eighteen billion, two hundred million, seventy thousand, forty-nine".

Divisors: 1 41 127 151 1681 5207 6191 16129 19177 22801 213487 253831 661289 786257 934841 2435479 2895727 27112849 32236537 38328481 99854639 118724807 367757329 4094040199 4867717087 15078050489 618200070049