Search a number
-
+
328939787790 = 2325191621118669
BaseRepresentation
bin1001100100101100101…
…01101101011000001110
31011110001101020120101100
410302112111231120032
520342132041202130
6411040213123530
732523302030445
oct4622625553016
91143041216340
10328939787790
11117558a31199
12539013295a6
13250326640b3
1411cc6847d5c
1588531b0c60
hex4c9656d60e

328939787790 has 96 divisors (see below), whose sum is σ = 900819223200. Its totient is φ = 83048613120.

The previous prime is 328939787789. The next prime is 328939787791. The reversal of 328939787790 is 97787939823.

328939787790 is a `hidden beast` number, since 3 + 2 + 89 + 397 + 8 + 77 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (328939787789) and next prime (328939787791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328939787791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712576 + ... + 2831244.

It is an arithmetic number, because the mean of its divisors is an integer number (9383533575).

Almost surely, 2328939787790 is an apocalyptic number.

328939787790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328939787790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450409611600).

328939787790 is an abundant number, since it is smaller than the sum of its proper divisors (571879435410).

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

328939787790 is a wasteful number, since it uses less digits than its factorization.

328939787790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120322 (or 120319 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 328939787790 in words is "three hundred twenty-eight billion, nine hundred thirty-nine million, seven hundred eighty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1621 1710 3242 4863 8105 9726 14589 16210 24315 29178 30799 48630 61598 72945 92397 118669 145890 153995 184794 237338 277191 307990 356007 461985 554382 593345 712014 923970 1068021 1186690 1385955 1780035 2136042 2254711 2771910 3560070 4509422 5340105 6764133 10680210 11273555 13528266 20292399 22547110 33820665 40584798 67641330 101461995 192362449 202923990 384724898 577087347 961812245 1154174694 1731262041 1923624490 2885436735 3462524082 3654886531 5770873470 7309773062 8656310205 10964659593 17312620410 18274432655 21929319186 32893978779 36548865310 54823297965 65787957558 109646595930 164469893895 328939787790