Search a number
-
+
10092239586 = 232111321092767
BaseRepresentation
bin10010110011000101…
…10101101011100010
3222001100022220001100
421121202311223202
5131132103131321
64345235415230
7505044423012
oct113142655342
928040286040
1010092239586
114309895a80
121b57a54516
13c4ab44900
146ba4d3c42
153e102d326
hex2598b5ae2

10092239586 has 144 divisors (see below), whose sum is σ = 26076885120. Its totient is φ = 2796094080.

The previous prime is 10092239581. The next prime is 10092239603. The reversal of 10092239586 is 68593229001.

10092239586 is a `hidden beast` number, since 10 + 0 + 9 + 22 + 39 + 586 = 666.

10092239586 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100922395862 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10092239581) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3645975 + ... + 3648741.

It is an arithmetic number, because the mean of its divisors is an integer number (181089480).

Almost surely, 210092239586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10092239586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038442560).

10092239586 is an abundant number, since it is smaller than the sum of its proper divisors (15984645534).

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

10092239586 is a wasteful number, since it uses less digits than its factorization.

10092239586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10092239586 in words is "ten billion, ninety-two million, two hundred thirty-nine thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 109 117 143 169 198 218 234 286 327 338 429 507 654 858 981 1014 1199 1287 1417 1521 1859 1962 2398 2574 2767 2834 3042 3597 3718 4251 5534 5577 7194 8301 8502 10791 11154 12753 15587 16602 16731 18421 21582 24903 25506 30437 31174 33462 35971 36842 46761 49806 55263 60874 71942 91311 93522 107913 110526 140283 165789 182622 202631 215826 273933 280566 301603 323739 331578 395681 405262 467623 547866 603206 607893 647478 791362 904809 935246 1187043 1215786 1402869 1809618 1823679 2374086 2714427 2805738 3317633 3561129 3647358 3920839 4208607 5143853 5428854 6635266 7122258 7841678 8417214 9952899 10287706 11762517 15431559 19905798 23525034 29858697 30863118 35287551 43129229 46294677 50970907 59717394 70575102 86258458 92589354 101941814 129387687 152912721 258775374 305825442 388163061 458738163 560679977 776326122 917476326 1121359954 1682039931 3364079862 5046119793 10092239586