Search a number
-
+
66605041343646 = 233132917419187823
BaseRepresentation
bin11110010010011101100011…
…10101000101110010011110
322201211101020211221220202000
433021032301311011302132
532212224111040444041
6353353533353143130
720013025005134541
oct1711166165056236
9281741224856660
1066605041343646
111a24a0484a3163
1275786056baaa6
132b21aa0141660
1412639b6150858
157a783b279bb6
hex3c93b1d45c9e

66605041343646 has 128 divisors (see below), whose sum is σ = 164903461632000. Its totient is φ = 19785932788608.

The previous prime is 66605041343629. The next prime is 66605041343663. The reversal of 66605041343646 is 64634314050666.

It is an interprime number because it is at equal distance from previous prime (66605041343629) and next prime (66605041343663).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66605041343592 and 66605041343601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354522091 + ... + 354709913.

It is an arithmetic number, because the mean of its divisors is an integer number (1288308294000).

Almost surely, 266605041343646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66605041343646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82451730816000).

66605041343646 is an abundant number, since it is smaller than the sum of its proper divisors (98298420288354).

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

66605041343646 is a wasteful number, since it uses less digits than its factorization.

66605041343646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205295 (or 205289 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 66605041343646 in words is "sixty-six trillion, six hundred five billion, forty-one million, three hundred forty-three thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 6786 10179 17419 20358 34838 52257 104514 156771 187823 226447 313542 375646 452894 470313 505151 563469 679341 940626 1010302 1126938 1358682 1515453 1690407 2038023 2441699 3030906 3380814 4076046 4546359 4883398 5071221 5446867 6114069 6566963 7325097 9092718 10142442 10893734 12228138 13133926 13639077 14650194 16340601 19700889 21975291 27278154 32681202 39401778 43950582 49021803 59102667 65925873 70809271 98043606 118205334 131851746 141618542 147065409 177308001 212427813 294130818 354616002 424855626 637283439 1274566878 1911850317 3271688837 3823700634 6543377674 9815066511 19630133022 29445199533 42531954881 58890399066 85063909762 88335598599 94878976273 127595864643 176671197198 189757952546 255191729286 284636928819 382787593929 569273857638 765575187858 853910786457 1148362781787 1233426691549 1707821572914 2296725563574 2466853383098 2561732359371 3700280074647 5123464718742 7400560149294 11100840223941 22201680447882 33302520671823 66605041343646