Search a number
-
+
23364411503364 = 223237411014235897
BaseRepresentation
bin1010100111111111100110…
…11100101011001100000100
310001201121122000021012112200
411103333303130223030010
511030300303321101424
6121405243520514500
74631010616655031
oct523776334531404
9101647560235480
1023364411503364
117498878203918
12275421a17ba30
13100634032c629
145aabb49ba388
152a7b669488c9
hex153ff372b304

23364411503364 has 144 divisors (see below), whose sum is σ = 62750897956656. Its totient is φ = 7319628288000.

The previous prime is 23364411503351. The next prime is 23364411503383. The reversal of 23364411503364 is 46330511446332.

23364411503364 is a `hidden beast` number, since 2 + 3 + 36 + 44 + 11 + 503 + 3 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5067901440000 + 18296510063364 = 2251200^2 + 4277442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397864 + ... + 7633760.

It is an arithmetic number, because the mean of its divisors is an integer number (435770124699).

Almost surely, 223364411503364 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 23364411503364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31375448978328).

23364411503364 is an abundant number, since it is smaller than the sum of its proper divisors (39386486453292).

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

23364411503364 is a wasteful number, since it uses less digits than its factorization.

23364411503364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236086 (or 4236081 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 23364411503364 its reverse (46330511446332), we get a palindrome (69694922949696).

The spelling of 23364411503364 in words is "twenty-three trillion, three hundred sixty-four billion, four hundred eleven million, five hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 101 111 123 148 164 202 222 246 303 333 369 404 444 492 606 666 738 909 1212 1332 1476 1517 1818 3034 3636 3737 4141 4551 6068 7474 8282 9102 11211 12423 13653 14948 16564 18204 22422 24846 27306 33633 37269 44844 49692 54612 67266 74538 134532 149076 153217 306434 459651 612868 919302 1378953 1838604 2757906 4235897 5515812 8471794 12707691 16943588 25415382 38123073 50830764 76246146 152492292 156728189 173671777 313456378 347343554 427825597 470184567 521015331 626912756 694687108 855651194 940369134 1042030662 1283476791 1410553701 1563045993 1711302388 1880738268 2084061324 2566953582 2821107402 3126091986 3850430373 5133907164 5642214804 6252183972 6425855749 7700860746 12851711498 15401721492 15829547089 17540849477 19277567247 25703422996 31659094178 35081698954 38555134494 47488641267 52622548431 57832701741 63318188356 70163397908 77110268988 94977282534 105245096862 115665403482 142465923801 157867645293 189954565068 210490193724 231330806964 284931847602 315735290586 569863695204 631470581172 649011430649 1298022861298 1947034291947 2596045722596 3894068583894 5841102875841 7788137167788 11682205751682 23364411503364