Search a number
-
+
94469047568 = 24783199223229
BaseRepresentation
bin101011111111011001…
…0110100010100010000
3100000211201011211212122
41113332302310110100
53021433034010233
6111222023313412
76553013440520
oct1277662642420
9300751154778
1094469047568
1137078350735
12163855ab868
138ba697c41c
14480266b680
1526cd8a3d98
hex15fecb4510

94469047568 has 160 divisors (see below), whose sum is σ = 214652928000. Its totient is φ = 39446466048.

The previous prime is 94469047553. The next prime is 94469047619. The reversal of 94469047568 is 86574096449.

It is a self number, because there is not a number n which added to its sum of digits gives 94469047568.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 412528478 + ... + 412528706.

It is an arithmetic number, because the mean of its divisors is an integer number (1341580800).

Almost surely, 294469047568 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 94469047568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107326464000).

94469047568 is an abundant number, since it is smaller than the sum of its proper divisors (120183880432).

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

94469047568 is a wasteful number, since it uses less digits than its factorization.

94469047568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 94469047568 in words is "ninety-four billion, four hundred sixty-nine million, forty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 199 223 229 332 398 446 458 581 664 796 892 916 1162 1328 1393 1561 1592 1603 1784 1832 2324 2786 3122 3184 3206 3568 3664 4648 5572 6244 6412 9296 11144 12488 12824 16517 18509 19007 22288 24976 25648 33034 37018 38014 44377 45571 51067 66068 74036 76028 88754 91142 102134 115619 129563 132136 133049 148072 152056 177508 182284 204268 231238 259126 264272 266098 296144 304112 310639 318997 355016 357469 364568 408536 462476 518252 532196 621278 637994 710032 714938 729136 817072 924952 1036504 1064392 1242556 1275988 1429876 1849904 2073008 2128784 2485112 2551976 2859752 3683291 3782393 4238561 4970224 5103952 5719504 7366582 7564786 8477122 10162333 14733164 15129572 16954244 20324666 25783037 26476751 29466328 29669927 30259144 33908488 40649332 51566074 52953502 58932656 59339854 60518288 67816976 71136331 81298664 103132148 105907004 118679708 142272662 162597328 206264296 211814008 237359416 284545324 412528592 423628016 474718832 569090648 843473639 1138181296 1686947278 3373894556 5904315473 6747789112 11808630946 13495578224 23617261892 47234523784 94469047568