Search a number
-
+
117574726003344 = 2432412220392
BaseRepresentation
bin11010101110111011111111…
…110001110010101010010000
3120102022000220210212202102100
4122232323333301302222100
5110402321014324101334
61054021030010120400
733523331213305461
oct3256737761625220
9512260823782370
10117574726003344
1134510185731295
121122a929a20100
13507b331328a7c
14210690b90cd68
15d8d5c5ed7c99
hex6aeeffc72a90

117574726003344 has 135 divisors (see below), whose sum is σ = 337282493232009. Its totient is φ = 38233948343040.

The previous prime is 117574726003291. The next prime is 117574726003417. The reversal of 117574726003344 is 443300627475711.

It is a happy number.

The square root of 117574726003344 is 10843188.

It is a perfect power (a square), and thus also a powerful number.

117574726003344 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 7 + 47 + 260 + 0 + 334 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5665409164944 + 111909316838400 = 2380212^2 + 10578720^2 .

It is a super-2 number, since 2×1175747260033442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5334837477 + ... + 5334859515.

Almost surely, 2117574726003344 is an apocalyptic number.

117574726003344 is the 10843188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117574726003344

117574726003344 is an abundant number, since it is smaller than the sum of its proper divisors (219707767228665).

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

117574726003344 is an frugal number, since it uses more digits than its factorization.

117574726003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44174 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 117574726003344 in words is "one hundred seventeen trillion, five hundred seventy-four billion, seven hundred twenty-six million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1681 1968 2952 3362 5043 5904 6724 10086 13448 15129 20172 22039 26896 30258 40344 44078 60516 66117 80688 88156 121032 132234 176312 198351 242064 264468 352624 396702 528936 793404 903599 1057872 1586808 1807198 2710797 3173616 3614396 5421594 7228792 8132391 10843188 14457584 16264782 21686376 32529564 37047559 43372752 65059128 74095118 111142677 130118256 148190236 222285354 296380472 333428031 444570708 485717521 592760944 666856062 889141416 971435042 1333712124 1457152563 1778282832 1942870084 2667424248 2914305126 3885740168 4371457689 5334848496 5828610252 7771480336 8742915378 11657220504 17485830756 19914418361 23314441008 34971661512 39828836722 59743255083 69943323024 79657673444 119486510166 159315346888 179229765249 238973020332 318630693776 358459530498 477946040664 716919060996 816491152801 955892081328 1433838121992 1632982305602 2449473458403 2867676243984 3265964611204 4898946916806 6531929222408 7348420375209 9797893833612 13063858444816 14696840750418 19595787667224 29393681500836 39191575334448 58787363001672 117574726003344