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41146861918756 = 22115059184849961
BaseRepresentation
bin10010101101100010000000…
…00101101001101000100100
312101200121020112221220110211
421112301000011221220210
520343122233122400011
6223302335111225204
711444522411362066
oct1126610005515044
9171617215856424
1041146861918756
1112124316947240
124746654978204
1319c6194c43339
14a23739605736
154b54ce7e5b21
hex256c40169a24

41146861918756 has 24 divisors (see below), whose sum is σ = 78568627848480. Its totient is φ = 18699421953600.

The previous prime is 41146861918751. The next prime is 41146861918769. The reversal of 41146861918756 is 65781916864114.

It is a super-2 number, since 2×411468619187562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41146861918691 and 41146861918700.

It is not an unprimeable number, because it can be changed into a prime (41146861918751) 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 7 ways as a sum of consecutive naturals, for example, 92202385 + ... + 92647576.

It is an arithmetic number, because the mean of its divisors is an integer number (3273692827020).

Almost surely, 241146861918756 is an apocalyptic number.

It is an amenable number.

41146861918756 is a deficient number, since it is larger than the sum of its proper divisors (37421765929724).

41146861918756 is a wasteful number, since it uses less digits than its factorization.

41146861918756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184855035 (or 184855033 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

The spelling of 41146861918756 in words is "forty-one trillion, one hundred forty-six billion, eight hundred sixty-one million, nine hundred eighteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 11 22 44 5059 10118 20236 55649 111298 222596 184849961 369699922 739399844 2033349571 4066699142 8133398284 935155952699 1870311905398 3740623810796 10286715479689 20573430959378 41146861918756