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66669696 = 2733101191
BaseRepresentation
bin1111111001010…
…0110010000000
311122110011122000
43332110302000
5114031412241
610340544000
71436453202
oct376246200
9148404560
1066669696
11346a6a25
121a3b2000
1310a73a32
148bd6772
155cbdeb6
hex3f94c80

66669696 has 128 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 21888000.

The previous prime is 66669683. The next prime is 66669719. The reversal of 66669696 is 69696666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

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, 348961 + ... + 349151.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 266669696 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 66669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

66669696 is an abundant number, since it is smaller than the sum of its proper divisors (133087104).

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

66669696 is a wasteful number, since it uses less digits than its factorization.

66669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 66669696 is about 8165.1513151931. The cubic root of 66669696 is about 405.4862746176.

The spelling of 66669696 in words is "sixty-six million, six hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 191 192 202 216 288 303 382 384 404 432 573 576 606 764 808 864 909 1146 1152 1212 1528 1616 1719 1728 1818 2292 2424 2727 3056 3232 3438 3456 3636 4584 4848 5157 5454 6112 6464 6876 7272 9168 9696 10314 10908 12224 12928 13752 14544 18336 19291 19392 20628 21816 24448 27504 29088 36672 38582 38784 41256 43632 55008 57873 58176 73344 77164 82512 87264 110016 115746 116352 154328 165024 173619 174528 220032 231492 308656 330048 347238 349056 462984 520857 617312 660096 694476 925968 1041714 1234624 1388952 1851936 2083428 2469248 2777904 3703872 4166856 5555808 7407744 8333712 11111616 16667424 22223232 33334848 66669696