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41383180216576 = 28112365512
BaseRepresentation
bin10010110100011010001011…
…10000011010100100000000
312102112012012222112021112201
421122031011300122210000
520411010223113412301
6224003100500402544
711500556532642232
oct1132150560324400
9172465188467481
1041383180216576
1112205565414100
1247844073a6454
131a12556629863
14a30d56d18252
154bb711402201
hex25a345c1a900

41383180216576 has 81 divisors (see below), whose sum is σ = 90799393954339. Its totient is φ = 18810021824000.

The previous prime is 41383180216529. The next prime is 41383180216577. The reversal of 41383180216576 is 67561208138314.

The square root of 41383180216576 is 6432976.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41383180216577) 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 8 ways as a sum of consecutive naturals, for example, 1132185501 + ... + 1132222051.

Almost surely, 241383180216576 is an apocalyptic number.

41383180216576 is the 6432976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41383180216576

41383180216576 is an abundant number, since it is smaller than the sum of its proper divisors (49416213737763).

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

41383180216576 is an frugal number, since it uses more digits than its factorization.

41383180216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73140 (or 36564 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 41383180216576 in words is "forty-one trillion, three hundred eighty-three billion, one hundred eighty million, two hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 36551 73102 146204 292408 402061 584816 804122 1169632 1608244 2339264 3216488 4422671 4678528 6432976 8845342 9357056 12865952 17690684 25731904 35381368 51463808 70762736 102927616 141525472 283050944 566101888 1132203776 1335975601 2671951202 5343902404 10687804808 14695731611 21375609616 29391463222 42751219232 58782926444 85502438464 117565852888 161653047721 171004876928 235131705776 323306095442 342009753856 470263411552 646612190884 940526823104 1293224381768 1881053646208 2586448763536 3762107292416 5172897527072 10345795054144 20691590108288 41383180216576