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427645562940 = 223258346376173
BaseRepresentation
bin1100011100100011010…
…10010111000000111100
31111212211100120110220100
412032101222113000330
524001304231003230
6524242504321100
742616312210611
oct6162152270074
91455740513810
10427645562940
111553aa853a82
126aa69773190
1331432cab3cb
14169aba4c508
15b1cd99b660
hex6391a9703c

427645562940 has 144 divisors (see below), whose sum is σ = 1313316190368. Its totient is φ = 112622310912.

The previous prime is 427645562923. The next prime is 427645562941. The reversal of 427645562940 is 49265546724.

427645562940 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 4 + 5 + 5 + 629 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427645562941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69273694 + ... + 69279866.

It is an arithmetic number, because the mean of its divisors is an integer number (9120251322).

Almost surely, 2427645562940 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 427645562940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656658095184).

427645562940 is an abundant number, since it is smaller than the sum of its proper divisors (885670627428).

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

427645562940 is a wasteful number, since it uses less digits than its factorization.

427645562940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 427645562940 in words is "four hundred twenty-seven billion, six hundred forty-five million, five hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4637 4980 6173 7470 9274 12346 13911 14940 18519 18548 23185 24692 27822 30865 37038 41733 46370 55557 55644 61730 69555 74076 83466 92595 92740 111114 123460 139110 166932 185190 208665 222228 277785 278220 370380 384871 417330 512359 555570 769742 834660 1024718 1111140 1154613 1537077 1539484 1924355 2049436 2309226 2561795 3074154 3463839 3848710 4611231 4618452 5123590 5773065 6148308 6927678 7685385 7697420 9222462 10247180 11546130 13855356 15370770 17319195 18444924 23056155 23092260 28624201 30741540 34638390 46112310 57248402 69276780 85872603 92224620 114496804 143121005 171745206 257617809 286242010 343490412 429363015 515235618 572484020 858726030 1030471236 1288089045 1717452060 2375808683 2576178090 4751617366 5152356180 7127426049 9503234732 11879043415 14254852098 21382278147 23758086830 28509704196 35637130245 42764556294 47516173660 71274260490 85529112588 106911390735 142548520980 213822781470 427645562940