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41057742105 = 345198959951
BaseRepresentation
bin100110001111001110…
…110110110100011001
310220222101101101220000
4212033032312310121
51133041240221410
630510041523213
72652310023012
oct461716666431
9126871341800
1041057742105
111645a030376
127b5a1a3509
133b44258a73
141db6c6a009
1511047c1dc0
hex98f3b6d19

41057742105 has 80 divisors (see below), whose sum is σ = 78345273600. Its totient is φ = 20511532800.

The previous prime is 41057742071. The next prime is 41057742133. The reversal of 41057742105 is 50124775014.

41057742105 is a `hidden beast` number, since 41 + 0 + 577 + 42 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 41057742105 - 28 = 41057741849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41057742105.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 654880 + ... + 714830.

It is an arithmetic number, because the mean of its divisors is an integer number (979315920).

Almost surely, 241057742105 is an apocalyptic number.

41057742105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41057742105 is a deficient number, since it is larger than the sum of its proper divisors (37287531495).

41057742105 is a wasteful number, since it uses less digits than its factorization.

41057742105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60076 (or 60067 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 41057742105 in words is "forty-one billion, fifty-seven million, seven hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 89 95 135 171 267 285 405 445 513 801 855 1335 1539 1691 2403 2565 4005 5073 7209 7695 8455 12015 15219 25365 36045 45657 59951 76095 136971 179853 228285 299755 539559 684855 899265 1139069 1618677 2697795 3417207 4856031 5335639 5695345 8093385 10251621 16006917 17086035 24280155 26678195 30754863 48020751 51258105 80034585 92264589 101377141 144062253 153774315 240103755 304131423 432186759 461322945 506885705 720311265 912394269 1520657115 2160933795 2737182807 4561971345 8211548421 13685914035 41057742105