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41205261361049 = 1961719231182773
BaseRepresentation
bin10010101111001110110001…
…11101110101111110011001
312101220011222111210221210222
421113213120331311332121
520400101333402023144
6223345234042045425
711451660534424562
oct1127473075657631
9171804874727728
1041205261361049
1112147064901635
124755a327a9875
1319cb840c00956
14a264b969b169
154b6c9b7892ee
hex2579d8f75f99

41205261361049 has 16 divisors (see below), whose sum is σ = 43446754260480. Its totient is φ = 38971055249280.

The previous prime is 41205261361039. The next prime is 41205261361109. The reversal of 41205261361049 is 94016316250214.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41205261361049 is a prime.

It is a super-3 number, since 3×412052613610493 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41205261361009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225353627 + ... + 225536399.

It is an arithmetic number, because the mean of its divisors is an integer number (2715422141280).

Almost surely, 241205261361049 is an apocalyptic number.

It is an amenable number.

41205261361049 is a deficient number, since it is larger than the sum of its proper divisors (2241492899431).

41205261361049 is a wasteful number, since it uses less digits than its factorization.

41205261361049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202640.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 41205261361049 in words is "forty-one trillion, two hundred five billion, two hundred sixty-one million, three hundred sixty-one thousand, forty-nine".

Divisors: 1 19 617 11723 19231 182773 365389 3472687 11865527 112770941 225445013 2142647879 3514907563 66783243697 2168697966371 41205261361049