Search a number
-
+
10778907630 = 23517295931229
BaseRepresentation
bin10100000100111100…
…10001001111101110
31000211012102020112010
422002132101033232
5134033400021010
64541325222050
7531053126451
oct120236211756
930735366463
1010778907630
114631459927
122109a01926
13102a19696a
1474379b498
1543146a620
hex2827913ee

10778907630 has 128 divisors (see below), whose sum is σ = 28406505600. Its totient is φ = 2605481984.

The previous prime is 10778907617. The next prime is 10778907641. The reversal of 10778907630 is 3670987701.

It is a happy number.

10778907630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10778907630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8769856 + ... + 8771084.

It is an arithmetic number, because the mean of its divisors is an integer number (221925825).

Almost surely, 210778907630 is an apocalyptic number.

10778907630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10778907630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203252800).

10778907630 is an abundant number, since it is smaller than the sum of its proper divisors (17627597970).

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

10778907630 is a wasteful number, since it uses less digits than its factorization.

10778907630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878.

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 10778907630 in words is "ten billion, seven hundred seventy-eight million, nine hundred seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 593 870 986 1186 1229 1479 1779 2458 2465 2958 2965 3558 3687 4930 5930 6145 7374 7395 8895 10081 12290 14790 17197 17790 18435 20162 20893 30243 34394 35641 36870 41786 50405 51591 60486 62679 71282 85985 100810 103182 104465 106923 125358 151215 171970 178205 208930 213846 257955 292349 302430 313395 356410 515910 534615 584698 605897 626790 728797 877047 1069230 1211794 1457594 1461745 1754094 1817691 2186391 2923490 3029485 3635382 3643985 4372782 4385235 6058970 7287970 8770470 9088455 10931955 12389549 18176910 21135113 21863910 24779098 37168647 42270226 61947745 63405339 74337294 105675565 123895490 126810678 185843235 211351130 317026695 359296921 371686470 634053390 718593842 1077890763 1796484605 2155781526 3592969210 5389453815 10778907630