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66985650 = 2335229259
BaseRepresentation
bin1111111110000…
…1111010110010
311200001020001000
43333201322302
5114122020100
610351422430
71442240304
oct377417262
9150036030
1066985650
11348a2346
121a524a16
1310b547a4
148c79974
155d32900
hex3fe1eb2

66985650 has 144 divisors (see below), whose sum is σ = 194407200. Its totient is φ = 16954560.

The previous prime is 66985631. The next prime is 66985673. The reversal of 66985650 is 5658966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66985596 and 66985605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1135321 + ... + 1135379.

It is an arithmetic number, because the mean of its divisors is an integer number (1350050).

Almost surely, 266985650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66985650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203600).

66985650 is an abundant number, since it is smaller than the sum of its proper divisors (127421550).

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

66985650 is a wasteful number, since it uses less digits than its factorization.

66985650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 66985650 is about 8184.4761591686. The cubic root of 66985650 is about 406.1258113497.

The spelling of 66985650 in words is "sixty-six million, nine hundred eighty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 59 75 87 90 118 135 145 150 174 177 225 261 270 290 295 354 435 450 522 531 590 675 725 783 841 870 885 1062 1305 1350 1450 1475 1566 1593 1682 1711 1770 2175 2523 2610 2655 2950 3186 3422 3915 4205 4350 4425 5046 5133 5310 6525 7569 7830 7965 8410 8555 8850 10266 12615 13050 13275 15138 15399 15930 17110 19575 21025 22707 25230 25665 26550 30798 37845 39150 39825 42050 42775 45414 46197 49619 51330 63075 75690 76995 79650 85550 92394 99238 113535 126150 128325 148857 153990 189225 227070 230985 248095 256650 297714 378450 384975 446571 461970 496190 567675 744285 769950 893142 1135350 1154925 1240475 1339713 1488570 2232855 2309850 2480950 2679426 3721425 4465710 6698565 7442850 11164275 13397130 22328550 33492825 66985650