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66163328 = 277311137
BaseRepresentation
bin1111110001100…
…1001010000000
311121111110000122
43330121022000
5113414211303
610322035412
71432244000
oct374311200
9147443018
1066163328
1134390540
121a1a8b68
13109273ca
148b04000
155c1de38
hex3f19280

66163328 has 128 divisors (see below), whose sum is σ = 168912000. Its totient is φ = 25589760.

The previous prime is 66163313. The next prime is 66163351. The reversal of 66163328 is 82336166.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482876 + ... + 483012.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 266163328 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 66163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84456000).

66163328 is an abundant number, since it is smaller than the sum of its proper divisors (102748672).

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

66163328 is a wasteful number, since it uses less digits than its factorization.

66163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 66163328 is about 8134.0843369122. The cubic root of 66163328 is about 404.4570848559.

The spelling of 66163328 in words is "sixty-six million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 137 154 176 196 224 274 308 343 352 392 448 539 548 616 686 704 784 896 959 1078 1096 1232 1372 1408 1507 1568 1918 2156 2192 2464 2744 3014 3136 3773 3836 4312 4384 4928 5488 6028 6272 6713 7546 7672 8624 8768 9856 10549 10976 12056 13426 15092 15344 17248 17536 21098 21952 24112 26852 30184 30688 34496 42196 43904 46991 48224 53704 60368 61376 68992 73843 84392 93982 96448 107408 120736 122752 147686 168784 187964 192896 214816 241472 295372 337568 375928 429632 482944 516901 590744 675136 751856 859264 1033802 1181488 1350272 1503712 2067604 2362976 3007424 4135208 4725952 6014848 8270416 9451904 16540832 33081664 66163328