Search a number
-
+
869755816449 = 3613226572
BaseRepresentation
bin11001010100000010111…
…11001000101000000001
310002010222210000101000000
430222001133020220001
5103222224442111244
61503321005350213
7116560234313202
oct14520137105001
93063883011000
10869755816449
11305952536083
12120693568369
136402c939c00
143014c7775a9
151795726c169
hexca817c8a01

869755816449 has 63 divisors (see below), whose sum is σ = 1412595583833. Its totient is φ = 535032905472.

The previous prime is 869755816439. The next prime is 869755816469. The reversal of 869755816449 is 944618557968.

The square root of 869755816449 is 932607.

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

869755816449 is a `hidden beast` number, since 8 + 6 + 9 + 7 + 558 + 1 + 64 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47723460849 + 822032355600 = 218457^2 + 906660^2 .

It is not a de Polignac number, because 869755816449 - 29 = 869755815937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (869755816439) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 327343729 + ... + 327346385.

Almost surely, 2869755816449 is an apocalyptic number.

869755816449 is the 932607-th square number.

869755816449 is the 466304-th centered octagonal number.

It is an amenable number.

869755816449 is a deficient number, since it is larger than the sum of its proper divisors (542839767384).

869755816449 is an frugal number, since it uses more digits than its factorization.

869755816449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 2673 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 869755816449 in words is "eight hundred sixty-nine billion, seven hundred fifty-five million, eight hundred sixteen thousand, four hundred forty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 2657 3159 4563 7971 9477 13689 23913 34541 41067 71739 103623 123201 215217 310869 449033 645651 932607 1347099 1936953 2797821 4041297 7059649 8393463 12123891 21178947 25180389 36371673 63536841 91775437 109115019 190610523 275326311 327345057 571831569 825978933 1193080681 1715494707 2477936799 3579242043 5146484121 7433810397 10737726129 22301431191 32213178387 66904293573 96639535161 289918605483 869755816449