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66041472 = 273779311
BaseRepresentation
bin1111101111101…
…1011010000000
311121021020212110
43323323122000
5113401311342
610315255320
71431225510
oct373733200
9147236773
1066041472
1134307a32
121a14a540
13108b3ac3
148ab1840
155be7c9c
hex3efb680

66041472 has 128 divisors (see below), whose sum is σ = 203673600. Its totient is φ = 18570240.

The previous prime is 66041461. The next prime is 66041489. The reversal of 66041472 is 27414066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×660414722 = 8722952047853568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212197 + ... + 212507.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 266041472 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 66041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

66041472 is an abundant number, since it is smaller than the sum of its proper divisors (137632128).

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

66041472 is a wasteful number, since it uses less digits than its factorization.

66041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 66041472 is about 8126.5904289560. The cubic root of 66041472 is about 404.2086299482.

The spelling of 66041472 in words is "sixty-six million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 311 316 336 384 448 474 553 622 632 672 896 933 948 1106 1244 1264 1344 1659 1866 1896 2177 2212 2488 2528 2688 3318 3732 3792 4354 4424 4976 5056 6531 6636 7464 7584 8708 8848 9952 10112 13062 13272 14928 15168 17416 17696 19904 24569 26124 26544 29856 30336 34832 35392 39808 49138 52248 53088 59712 69664 70784 73707 98276 104496 106176 119424 139328 147414 171983 196552 208992 212352 278656 294828 343966 393104 417984 515949 589656 687932 786208 835968 1031898 1179312 1375864 1572416 2063796 2358624 2751728 3144832 4127592 4717248 5503456 8255184 9434496 11006912 16510368 22013824 33020736 66041472