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40861536806805 = 351113172294893313
BaseRepresentation
bin10010100101001110100010…
…11000101110011110010101
312100200022202202102102122220
421102213101120232132111
520323433411410304210
6222523310400012553
711415101655056541
oct1122472130563625
9170608682372586
1040861536806805
111202430a2a65a0
1246bb2a6001159
1319a52c34ac850
14a139cd458a21
154acd8062bc70
hex2529d162e795

40861536806805 has 128 divisors (see below), whose sum is σ = 81681546078720. Its totient is φ = 17136770088960.

The previous prime is 40861536806801. The next prime is 40861536806807. The reversal of 40861536806805 is 50860863516804.

It is a happy number.

40861536806805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40861536806805 - 22 = 40861536806801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40861536806801) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5903829 + ... + 10797141.

It is an arithmetic number, because the mean of its divisors is an integer number (638137078740).

Almost surely, 240861536806805 is an apocalyptic number.

It is an amenable number.

40861536806805 is a deficient number, since it is larger than the sum of its proper divisors (40820009271915).

40861536806805 is a wasteful number, since it uses less digits than its factorization.

40861536806805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893591.

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 40861536806805 in words is "forty trillion, eight hundred sixty-one billion, five hundred thirty-six million, eight hundred six thousand, eight hundred five".

Divisors: 1 3 5 11 13 15 17 33 39 51 55 65 85 143 165 187 195 221 229 255 429 561 663 687 715 935 1105 1145 2145 2431 2519 2805 2977 3315 3435 3893 7293 7557 8931 11679 12155 12595 14885 19465 32747 36465 37785 42823 44655 50609 58395 98241 128469 151827 163735 214115 253045 491205 556699 642345 759135 1670097 2783495 4893313 8350485 14679939 24466565 53826443 63613069 73399695 83186321 161479329 190839207 249558963 269132215 318065345 415931605 699743759 807396645 915049531 954196035 1081422173 1120568677 1247794815 2099231277 2745148593 3244266519 3361706031 3498718795 4575247655 5407110865 5602843385 10496156385 11895643903 12326255447 13725742965 14567392801 16221332595 16808530155 19049667509 35686931709 36978766341 43702178403 57149002527 59478219515 61631277235 72836964005 95248337545 160241320811 178434658545 184893831705 209546342599 218510892015 247645677617 285745012635 480723962433 628639027797 742937032851 801206604055 1047731712995 1238228388085 2403619812165 2724102453787 3143195138985 3714685164255 8172307361361 13620512268935 40861536806805