Search a number
-
+
1876828760676 = 223241255692
BaseRepresentation
bin11011010011111011101…
…101100010101001100100
320122102102102102120221100
4123103323231202221210
5221222221130320201
63554111521520100
7252411365146662
oct33237355425144
96572372376840
101876828760676
11663a5a9a7721
122638aa1a3030
13107ca436b33c
1466ba62c7c32
1533c4990a886
hex1b4fbb62a64

1876828760676 has 81 divisors (see below), whose sum is σ = 4863613965483. Its totient is φ = 610241218560.

The previous prime is 1876828760591. The next prime is 1876828760693. The reversal of 1876828760676 is 6760678286781.

The square root of 1876828760676 is 1369974.

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

1876828760676 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 8 + 2 + 8 + 7 + 606 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1170018642276 + 706810118400 = 1081674^2 + 840720^2 .

It is a super-3 number, since 3×18768287606763 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 337010820 + ... + 337016388.

Almost surely, 21876828760676 is an apocalyptic number.

1876828760676 is the 1369974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1876828760676

1876828760676 is an abundant number, since it is smaller than the sum of its proper divisors (2986785204807).

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

1876828760676 is an frugal number, since it uses more digits than its factorization.

1876828760676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 1876828760676 in words is "one trillion, eight hundred seventy-six billion, eight hundred twenty-eight million, seven hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 5569 6724 10086 11138 15129 16707 20172 22276 30258 33414 50121 60516 66828 100242 200484 228329 456658 684987 913316 1369974 2054961 2739948 4109922 8219844 9361489 18722978 28084467 31013761 37445956 56168934 62027522 84253401 93041283 112337868 124055044 168506802 186082566 279123849 337013604 372165132 558247698 1116495396 1271564201 2543128402 3814692603 5086256804 7629385206 11444077809 15258770412 22888155618 45776311236 52134132241 104268264482 156402396723 208536528964 312804793446 469207190169 625609586892 938414380338 1876828760676