Search a number
-
+
2269563341049 = 323129721672
BaseRepresentation
bin100001000001101100100…
…001000100100011111001
322000222010202211101212100
4201001230201010203321
5244141031203403144
64454342322534013
7322653616045404
oct41015441044371
98028122741770
102269563341049
117a557537a794
12307a34207309
131360326c26c4
147bbc159cd3b
153e08355c269
hex2106c8448f9

2269563341049 has 81 divisors (see below), whose sum is σ = 3443319538191. Its totient is φ = 1440461733120.

The previous prime is 2269563341047. The next prime is 2269563341051. The reversal of 2269563341049 is 9401433659622.

The square root of 2269563341049 is 1506507.

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

2269563341049 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 563 + 34 + 1 + 0 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (2269563341047) and next prime (2269563341051).

It can be written as a sum of positive squares in only one way, i.e., 1019120535225 + 1250442805824 = 1009515^2 + 1118232^2 .

It is not a de Polignac number, because 2269563341049 - 21 = 2269563341047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2269563340986 and 2269563341004.

It is not an unprimeable number, because it can be changed into a prime (2269563341047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13590199564 + ... + 13590199730.

Almost surely, 22269563341049 is an apocalyptic number.

2269563341049 is the 1506507-th square number.

2269563341049 is the 753254-th centered octagonal number.

It is an amenable number.

2269563341049 is a deficient number, since it is larger than the sum of its proper divisors (1173756197142).

2269563341049 is an frugal number, since it uses more digits than its factorization.

2269563341049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 2269563341049 in words is "two trillion, two hundred sixty-nine billion, five hundred sixty-three million, three hundred forty-one thousand, forty-nine".

Divisors: 1 3 9 31 93 97 167 279 291 501 873 961 1503 2883 3007 5177 8649 9021 9409 15531 16199 27063 27889 28227 46593 48597 83667 84681 93217 145791 160487 251001 279651 291679 481461 502169 838953 864559 875037 1444383 1506507 1571303 2593677 2625111 2705233 4519521 4713909 7781031 8115699 9042049 14141727 15567239 24347097 26801329 27126147 46701717 48710393 80403987 81378441 83862223 140105151 146131179 241211961 251586669 262407601 438393537 754760007 787222803 1510022183 2361668409 2599728913 4530066549 7799186739 8134635631 13590199647 23397560217 24403906893 73211720679 252173704561 756521113683 2269563341049