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41206334054656 = 284012012
BaseRepresentation
bin10010101111010000110001…
…11001110110000100000000
312101220021202021021102210211
421113220120321312010000
520400111033004222111
6223345532321403504
711452026241241311
oct1127503071660400
9171807667242724
1041206334054656
1112147565366181
124756091a99594
1319cb9822106b4
14a2657bd2c608
154b6d10a29521
hex257a18e76100

41206334054656 has 27 divisors (see below), whose sum is σ = 82251910881133. Its totient is φ = 20603115673600.

The previous prime is 41206334054593. The next prime is 41206334054657. The reversal of 41206334054656 is 65645043360214.

The square root of 41206334054656 is 6419216.

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

It can be written as a sum of positive squares in only one way, i.e., 26411541094656 + 14794792960000 = 5139216^2 + 3846400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41206334054657) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 102506856 + ... + 102908056.

Almost surely, 241206334054656 is an apocalyptic number.

41206334054656 is the 6419216-th square number.

It is an amenable number.

41206334054656 is a deficient number, since it is larger than the sum of its proper divisors (41045576826477).

41206334054656 is an frugal number, since it uses more digits than its factorization.

41206334054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802418 (or 401203 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 41206334054656 in words is "forty-one trillion, two hundred six billion, three hundred thirty-four million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 401201 802402 1604804 3209608 6419216 12838432 25676864 51353728 102707456 160962242401 321924484802 643848969604 1287697939208 2575395878416 5150791756832 10301583513664 20603167027328 41206334054656