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41355405336636 = 2232291873208110163
BaseRepresentation
bin10010110011100110011100…
…01111101010000000111100
312102102112112022012012001200
421121303032033222000330
520410031332231233021
6223542224432335500
711465554332234666
oct1131631617520074
9172375468165050
1041355405336636
11121a48021a7776
12477ab556a4590
131a0ca4b24cb61
14a2d880209536
154bab37d08126
hex259cce3ea03c

41355405336636 has 144 divisors (see below), whose sum is σ = 108262391196960. Its totient is φ = 13294978744320.

The previous prime is 41355405336613. The next prime is 41355405336647. The reversal of 41355405336636 is 63663350455314.

41355405336636 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 5 + 40 + 533 + 6 + 63 + 6 = 666.

41355405336636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413554053366362 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4069207291 + ... + 4069217453.

It is an arithmetic number, because the mean of its divisors is an integer number (751822161090).

Almost surely, 241355405336636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41355405336636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54131195598480).

41355405336636 is an abundant number, since it is smaller than the sum of its proper divisors (66906985860324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41355405336636 is a wasteful number, since it uses less digits than its factorization.

41355405336636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14156 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 54.

The spelling of 41355405336636 in words is "forty-one trillion, three hundred fifty-five billion, four hundred five million, three hundred thirty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1873 2081 3746 4162 5619 6243 7492 8324 10163 11238 12486 16857 18729 20326 22476 24972 30489 33714 37458 40652 54317 60349 60978 67428 74916 91467 108634 120698 121956 162951 181047 182934 217268 241396 294727 325902 362094 365868 488853 543141 589454 651804 724188 884181 977706 1086282 1178908 1768362 1955412 2172564 2652543 3536724 3897713 5305086 7795426 10610172 11693139 15590852 19035299 21149203 23386278 35079417 38070598 42298406 46772556 57105897 63447609 70158834 76141196 84596812 113033677 114211794 126895218 140317668 171317691 190342827 226067354 228423588 253790436 339101031 342635382 380685654 452134708 552023671 613326887 678202062 685270764 761371308 1017303093 1104047342 1226653774 1356404124 1656071013 1839980661 2034606186 2208094684 2453307548 3312142026 3679961322 4069212372 4968213039 5519941983 6624284052 7359922644 9936426078 11039883966 19872852156 22079767932 39612457219 79224914438 118837371657 158449828876 237674743314 356512114971 475349486628 713024229942 1148761259351 1426048459884 2297522518702 3446283778053 4595045037404 6892567556106 10338851334159 13785135112212 20677702668318 41355405336636