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109544775380496 = 2432592147832
BaseRepresentation
bin11000111010000101100001…
…011011000110111000010000
3112100212101012202010001220100
4120322011201123012320100
5103324240144444133441
61024552101452212400
732034230440222131
oct3072054133067020
9470771182101810
10109544775380496
11319a475096a895
121035261776a100
13491804966a591
141d09dd15d9c88
15c9e79e94dcb6
hex63a1616c6e10

109544775380496 has 135 divisors (see below), whose sum is σ = 311878549464079. Its totient is φ = 35893599894336.

The previous prime is 109544775380479. The next prime is 109544775380531. The reversal of 109544775380496 is 694083577445901.

The square root of 109544775380496 is 10466364.

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

109544775380496 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 4 + 7 + 7 + 53 + 80 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

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, 7410178321 + ... + 7410193103.

Almost surely, 2109544775380496 is an apocalyptic number.

109544775380496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109544775380496 is the 10466364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109544775380496

109544775380496 is an abundant number, since it is smaller than the sum of its proper divisors (202333774083583).

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

109544775380496 is an frugal number, since it uses more digits than its factorization.

109544775380496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29698 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 109544775380496 in words is "one hundred nine trillion, five hundred forty-four billion, seven hundred seventy-five million, three hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 3481 4248 6962 8496 10443 13924 14783 20886 27848 29566 31329 41772 44349 55696 59132 62658 83544 88698 118264 125316 133047 167088 177396 236528 250632 266094 354792 501264 532188 709584 872197 1064376 1744394 2128752 2616591 3488788 5233182 6977576 7849773 10466364 13955152 15699546 20932728 31399092 41865456 51459623 62798184 102919246 125596368 154378869 205838492 218537089 308757738 411676984 437074178 463136607 617515476 655611267 823353968 874148356 926273214 1235030952 1311222534 1748296712 1852546428 1966833801 2470061904 2622445068 3496593424 3705092856 3933667602 5244890136 7410185712 7867335204 10489780272 12893688251 15734670408 25787376502 31469340816 38681064753 51574753004 77362129506 103149506008 116043194259 154724259012 206299012016 232086388518 309448518024 464172777036 618897036048 760727606809 928345554072 1521455213618 1856691108144 2282182820427 3042910427236 4564365640854 6085820854472 6846548461281 9128731281708 12171641708944 13693096922562 18257462563416 27386193845124 36514925126832 54772387690248 109544775380496