Search a number
-
+
10274616876 = 22317373134349
BaseRepresentation
bin10011001000110101…
…00011011000101100
3222112001111121122210
421210122203120230
5132020300220001
64415312410420
7512420542146
oct114432433054
928461447583
1010274616876
1143a2831807
121ba8b46a10
13c7986b874
146d6809c96
15402055dd6
hex2646a362c

10274616876 has 96 divisors (see below), whose sum is σ = 26159716800. Its totient is φ = 3125551104.

The previous prime is 10274616841. The next prime is 10274616889. The reversal of 10274616876 is 67861647201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360350 + ... + 2364698.

It is an arithmetic number, because the mean of its divisors is an integer number (272497050).

Almost surely, 210274616876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10274616876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079858400).

10274616876 is an abundant number, since it is smaller than the sum of its proper divisors (15885099924).

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

10274616876 is a wasteful number, since it uses less digits than its factorization.

10274616876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10274616876 in words is "ten billion, two hundred seventy-four million, six hundred sixteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 313 444 626 629 939 1252 1258 1878 1887 2516 3756 3774 4349 5321 7548 8698 10642 11581 13047 15963 17396 21284 23162 26094 31926 34743 46324 52188 63852 69486 73933 138972 147866 160913 196877 221799 295732 321826 393754 443598 482739 590631 643652 787508 887196 965478 1181262 1361237 1930956 2362524 2722474 2735521 4083711 5444948 5471042 8167422 8206563 10942084 16334844 16413126 23141029 32826252 46282058 50365769 69423087 92564116 100731538 138846174 151097307 201463076 277692348 302194614 604389228 856218073 1712436146 2568654219 3424872292 5137308438 10274616876