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66463100 = 225211233771
BaseRepresentation
bin1111110110001…
…0010101111100
311122001200020022
43331202111330
5114003304400
610332311312
71434632654
oct375422574
9148050208
1066463100
1134575790
121a312538
1310a009a2
148b81364
155c7cb85
hex3f6257c

66463100 has 144 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 22176000.

The previous prime is 66463073. The next prime is 66463127. The reversal of 66463100 is 136466.

It is an interprime number because it is at equal distance from previous prime (66463073) and next prime (66463127).

It is a super-2 number, since 2×664631002 = 8834687323220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66463100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936065 + ... + 936135.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 266463100 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 66463100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

66463100 is an abundant number, since it is smaller than the sum of its proper divisors (104525956).

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

66463100 is a wasteful number, since it uses less digits than its factorization.

66463100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 66463100 is about 8152.4904170444. The cubic root of 66463100 is about 405.0670010575.

Adding to 66463100 its reverse (136466), we get a palindrome (66599566).

The spelling of 66463100 in words is "sixty-six million, four hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 37 44 46 50 55 71 74 92 100 110 115 142 148 185 220 230 253 275 284 355 370 407 460 506 550 575 710 740 781 814 851 925 1012 1100 1150 1265 1420 1562 1628 1633 1702 1775 1850 2035 2300 2530 2627 3124 3266 3404 3550 3700 3905 4070 4255 5060 5254 6325 6532 7100 7810 8140 8165 8510 9361 10175 10508 12650 13135 15620 16330 17020 17963 18722 19525 20350 21275 25300 26270 28897 32660 35926 37444 39050 40700 40825 42550 46805 52540 57794 60421 65675 71852 78100 81650 85100 89815 93610 115588 120842 131350 144485 163300 179630 187220 234025 241684 262700 288970 302105 359260 449075 468050 577940 604210 664631 722425 898150 936100 1208420 1329262 1444850 1510525 1796300 2658524 2889700 3021050 3323155 6042100 6646310 13292620 16615775 33231550 66463100