Search a number
-
+
1041650895769 = 112312412732
BaseRepresentation
bin11110010100001110011…
…10110100101110011001
310200120200102221011020021
433022013032310232121
5114031300112131034
62114310001430441
7135154036345021
oct17120716645631
93616612834207
101041650895769
11371841858400
12149a6693b421
13772c5393bb3
14385b7d96a81
151c1681526b4
hexf2873b4b99

1041650895769 has 81 divisors (see below), whose sum is σ = 1229479054461. Its totient is φ = 881809632000.

The previous prime is 1041650895749. The next prime is 1041650895823. The reversal of 1041650895769 is 9675980561401.

The square root of 1041650895769 is 1020613.

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

It can be written as a sum of positive squares in 4 ways, for example, as 236123105625 + 805527790144 = 485925^2 + 897512^2 .

It is not a de Polignac number, because 1041650895769 - 27 = 1041650895641 is a prime.

It is a super-2 number, since 2×10416508957692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1041650895709) 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, 14269190317 + ... + 14269190389.

Almost surely, 21041650895769 is an apocalyptic number.

1041650895769 is the 1020613-rd square number.

1041650895769 is the 510307-th centered octagonal number.

It is an amenable number.

1041650895769 is a deficient number, since it is larger than the sum of its proper divisors (187828158692).

1041650895769 is an frugal number, since it uses more digits than its factorization.

1041650895769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 1041650895769 in words is "one trillion, forty-one billion, six hundred fifty million, eight hundred ninety-five thousand, seven hundred sixty-nine".

Divisors: 1 11 31 41 73 121 341 451 803 961 1271 1681 2263 2993 3751 4961 5329 8833 10571 13981 18491 24893 32923 39401 52111 58619 70153 92783 116281 122713 153791 165199 203401 218489 273823 362153 433411 573221 644809 771683 1020613 1349843 1615441 1817189 2403379 2876273 3804103 4767521 5121169 6305431 6773159 8488513 8958049 11226743 14848273 17769851 19989079 26437169 31639003 41845133 56332859 74504749 98538539 117927193 195468361 209967929 277699519 348029033 460296463 619661449 819552239 1083923929 1297199123 2309647219 3054694709 8608685089 14269190353 25406119409 33601641799 94695535979 1041650895769