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41600726400961 = 7131074272437753
BaseRepresentation
bin10010111010101111011001…
…00001001111111111000001
312110021222202011001111002001
421131113230201033333001
520423041241424312321
6224251035422224001
711522360532000610
oct1135275441177701
9173258664044061
1041600726400961
1112289850585332
1247ba5bb125001
131a29c15b44950
14a3b6b3453877
154c21e4e8ac91
hex25d5ec84ffc1

41600726400961 has 16 divisors (see below), whose sum is σ = 51679407072384. Its totient is φ = 32607244923264.

The previous prime is 41600726400901. The next prime is 41600726401001. The reversal of 41600726400961 is 16900462700614.

It is a cyclic number.

It is not a de Polignac number, because 41600726400961 - 27 = 41600726400833 is a prime.

It is a super-2 number, since 2×416007264009612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41600726400901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136209140 + ... + 2136228613.

It is an arithmetic number, because the mean of its divisors is an integer number (3229962942024).

Almost surely, 241600726400961 is an apocalyptic number.

It is an amenable number.

41600726400961 is a deficient number, since it is larger than the sum of its proper divisors (10078680671423).

41600726400961 is a wasteful number, since it uses less digits than its factorization.

41600726400961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272437880.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 41600726400961 in words is "forty-one trillion, six hundred billion, seven hundred twenty-six million, four hundred thousand, nine hundred sixty-one".

Divisors: 1 7 13 91 107 749 1391 9737 4272437753 29907064271 55541690789 388791835523 457150839571 3200055876997 5942960914423 41600726400961