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66645216 = 253211109193
BaseRepresentation
bin1111111000111…
…0110011100000
311122101221001100
43332032303200
5114030121331
610340234400
71436321631
oct376166340
9148357040
1066645216
113468a5a0
121a39ba00
1310a65851
148bcb888
155cb6ae6
hex3f8ece0

66645216 has 144 divisors (see below), whose sum is σ = 209729520. Its totient is φ = 19906560.

The previous prime is 66645199. The next prime is 66645233. The reversal of 66645216 is 61254666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66645199) and next prime (66645233).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 345216 + ... + 345408.

It is an arithmetic number, because the mean of its divisors is an integer number (1456455).

Almost surely, 266645216 is an apocalyptic number.

66645216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104864760).

66645216 is an abundant number, since it is smaller than the sum of its proper divisors (143084304).

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

66645216 is a wasteful number, since it uses less digits than its factorization.

66645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66645216 is about 8163.6521238965. The cubic root of 66645216 is about 405.4366392772.

The spelling of 66645216 in words is "sixty-six million, six hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 109 132 144 176 193 198 218 264 288 327 352 386 396 436 528 579 654 772 792 872 981 1056 1158 1199 1308 1544 1584 1737 1744 1962 2123 2316 2398 2616 3088 3168 3474 3488 3597 3924 4246 4632 4796 5232 6176 6369 6948 7194 7848 8492 9264 9592 10464 10791 12738 13896 14388 15696 16984 18528 19107 19184 21037 21582 25476 27792 28776 31392 33968 38214 38368 42074 43164 50952 55584 57552 63111 67936 76428 84148 86328 101904 115104 126222 152856 168296 172656 189333 203808 231407 252444 305712 336592 345312 378666 462814 504888 611424 673184 694221 757332 925628 1009776 1388442 1514664 1851256 2019552 2082663 2776884 3029328 3702512 4165326 5553768 6058656 7405024 8330652 11107536 16661304 22215072 33322608 66645216