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42065663633640 = 23325184616329509
BaseRepresentation
bin10011001000010001011001…
…11100000010100011101000
312111221102211102111001210200
421210020230330002203220
521003200434342234030
6225244411000512200
711601100234162653
oct1144105474024350
9174842742431720
1042065663633640
1112448a47520779
12487473577b660
131a61a0ca6330a
14a55dbbaac89a
154ce357790d60
hex26422cf028e8

42065663633640 has 96 divisors (see below), whose sum is σ = 136720833935400. Its totient is φ = 11216900897280.

The previous prime is 42065663633639. The next prime is 42065663633683. The reversal of 42065663633640 is 4633636656024.

42065663633640 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 566 + 3 + 6 + 3 + 36 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14652711228996 + 27412952404644 = 3827886^2 + 5235738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481206 + ... + 9810714.

Almost surely, 242065663633640 is an apocalyptic number.

42065663633640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42065663633640 is an abundant number, since it is smaller than the sum of its proper divisors (94655170301760).

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

42065663633640 is a wasteful number, since it uses less digits than its factorization.

42065663633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347987 (or 6347980 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 42065663633640 in words is "forty-two trillion, sixty-five billion, six hundred sixty-three million, six hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 18461 36922 55383 73844 92305 110766 147688 166149 184610 221532 276915 332298 369220 443064 553830 664596 738440 830745 1107660 1329192 1661490 2215320 3322980 6329509 6645960 12659018 18988527 25318036 31647545 37977054 50636072 56965581 63295090 75954108 94942635 113931162 126590180 151908216 189885270 227862324 253180360 284827905 379770540 455724648 569655810 759541080 1139311620 2278623240 116849065649 233698131298 350547196947 467396262596 584245328245 701094393894 934792525192 1051641590841 1168490656490 1402188787788 1752735984735 2103283181682 2336981312980 2804377575576 3505471969470 4206566363364 4673962625960 5258207954205 7010943938940 8413132726728 10516415908410 14021887877880 21032831816820 42065663633640