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66071616 = 26313103257
BaseRepresentation
bin1111110000001…
…0110001000000
311121022210012220
43330002301000
5113403242431
610320051040
71431412422
oct374026100
9147283186
1066071616
1134328646
121a163a80
13108c4740
148abc812
155c01b96
hex3f02c40

66071616 has 112 divisors (see below), whose sum is σ = 190829184. Its totient is φ = 20054016.

The previous prime is 66071611. The next prime is 66071651. The reversal of 66071616 is 61617066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66071611) 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, 256960 + ... + 257216.

It is an arithmetic number, because the mean of its divisors is an integer number (1703832).

Almost surely, 266071616 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 66071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95414592).

66071616 is an abundant number, since it is smaller than the sum of its proper divisors (124757568).

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

66071616 is a wasteful number, since it uses less digits than its factorization.

66071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 66071616 is about 8128.4448697152. Note that the first 3 decimals coincide. The cubic root of 66071616 is about 404.2701196516.

The spelling of 66071616 in words is "sixty-six million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 156 192 206 208 257 309 312 412 416 514 618 624 771 824 832 1028 1236 1248 1339 1542 1648 2056 2472 2496 2678 3084 3296 3341 4017 4112 4944 5356 6168 6592 6682 8034 8224 9888 10023 10712 12336 13364 16068 16448 19776 20046 21424 24672 26471 26728 32136 40092 42848 49344 52942 53456 64272 79413 80184 85696 105884 106912 128544 158826 160368 211768 213824 257088 317652 320736 344123 423536 635304 641472 688246 847072 1032369 1270608 1376492 1694144 2064738 2541216 2752984 4129476 5082432 5505968 8258952 11011936 16517904 22023872 33035808 66071616