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681872779 = 72197379127
BaseRepresentation
bin101000101001001…
…000110110001011
31202112001201121101
4220221020312023
52344024412104
6151354522231
722616552200
oct5051106613
91675051541
10681872779
1131a999125
12170436377
13ab363523
14667b9ca7
153ece15a4
hex28a48d8b

681872779 has 48 divisors (see below), whose sum is σ = 863846400. Its totient is φ = 534957696.

The previous prime is 681872777. The next prime is 681872797. The reversal of 681872779 is 977278186.

It is a happy number.

It is not a de Polignac number, because 681872779 - 21 = 681872777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (681872773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5369014 + ... + 5369140.

It is an arithmetic number, because the mean of its divisors is an integer number (17996800).

Almost surely, 2681872779 is an apocalyptic number.

681872779 is a deficient number, since it is larger than the sum of its proper divisors (181973621).

681872779 is a wasteful number, since it uses less digits than its factorization.

681872779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 55.

The square root of 681872779 is about 26112.6938288642. The cubic root of 681872779 is about 880.1724778145.

It can be divided in two parts, 6818 and 72779, that added together give a palindrome (79597).

The spelling of 681872779 in words is "six hundred eighty-one million, eight hundred seventy-two thousand, seven hundred seventy-nine".

Divisors: 1 7 19 49 73 79 127 133 511 553 889 931 1387 1501 2413 3577 3871 5767 6223 9271 9709 10033 10507 16891 40369 64897 67963 70231 73549 109573 118237 176149 190627 282583 454279 491617 732409 767011 1233043 1334389 5126863 5369077 8631301 9340723 13915771 35888041 97410397 681872779