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66119112 = 23332313309
BaseRepresentation
bin1111110000111…
…0010111001000
311121102012101000
43330032113020
5113411302422
610321055000
71432001043
oct374162710
9147365330
1066119112
11343602a4
121a187460
1310910247
148ad1c5a
155c10cac
hex3f0e5c8

66119112 has 64 divisors (see below), whose sum is σ = 191664000. Its totient is φ = 21079872.

The previous prime is 66119071. The next prime is 66119113. The reversal of 66119112 is 21191166.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (66119113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 11622.

It is an arithmetic number, because the mean of its divisors is an integer number (2994750).

Almost surely, 266119112 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 66119112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95832000).

66119112 is an abundant number, since it is smaller than the sum of its proper divisors (125544888).

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

66119112 is a wasteful number, since it uses less digits than its factorization.

66119112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13337 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 66119112 is about 8131.3659369137. The cubic root of 66119112 is about 404.3669671616.

The spelling of 66119112 in words is "sixty-six million, one hundred nineteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 13309 26618 39927 53236 79854 106472 119781 159708 239562 306107 319416 359343 479124 612214 718686 918321 958248 1224428 1437372 1836642 2448856 2754963 2874744 3673284 5509926 7346568 8264889 11019852 16529778 22039704 33059556 66119112