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42104216660 = 225112961108187
BaseRepresentation
bin100111001101100110…
…110101110001010100
311000200022111211002212
4213031212311301110
51142212134413120
631201543252552
73020244636152
oct471546656124
9130608454085
1042104216660
1116946807180
1281b074a158
133c7ccb878c
142075c343d2
1511665d36c5
hex9cd9b5c54

42104216660 has 96 divisors (see below), whose sum is σ = 101419758720. Its totient is φ = 14540198400.

The previous prime is 42104216641. The next prime is 42104216683. The reversal of 42104216660 is 6661240124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335087 + ... + 443273.

It is an arithmetic number, because the mean of its divisors is an integer number (1056455820).

Almost surely, 242104216660 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 42104216660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50709879360).

42104216660 is an abundant number, since it is smaller than the sum of its proper divisors (59315542060).

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

42104216660 is a wasteful number, since it uses less digits than its factorization.

42104216660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108297 (or 108295 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 42104216660 its reverse (6661240124), we get a palindrome (48765456784).

The spelling of 42104216660 in words is "forty-two billion, one hundred four million, two hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 61 110 116 122 145 220 244 290 305 319 580 610 638 671 1220 1276 1342 1595 1769 2684 3190 3355 3538 6380 6710 7076 8845 13420 17690 19459 35380 38918 77836 97295 108187 194590 216374 389180 432748 540935 1081870 1190057 2163740 2380114 3137423 4760228 5950285 6274846 6599407 11900570 12549692 13198814 15687115 23801140 26397628 31374230 32997035 34511653 62748460 65994070 69023306 72593477 131988140 138046612 145186954 172558265 191382803 290373908 345116530 362967385 382765606 690233060 725934770 765531212 956914015 1451869540 1913828030 2105210833 3827656060 4210421666 8420843332 10526054165 21052108330 42104216660