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66063294 = 232113147229
BaseRepresentation
bin1111110000000…
…0101110111110
311121022100210200
43330000232332
5113403011134
610315544330
71431346233
oct374005676
9147270720
1066063294
1134322370
121a15b0a6
13108c0a0b
148ab978a
155bee499
hex3f00bbe

66063294 has 96 divisors (see below), whose sum is σ = 165335040. Its totient is φ = 18878400.

The previous prime is 66063293. The next prime is 66063307. The reversal of 66063294 is 49236066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66063293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288372 + ... + 288600.

It is an arithmetic number, because the mean of its divisors is an integer number (1722240).

Almost surely, 266063294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66063294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82667520).

66063294 is an abundant number, since it is smaller than the sum of its proper divisors (99271746).

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

66063294 is a wasteful number, since it uses less digits than its factorization.

66063294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66063294 is about 8127.9329475581. The cubic root of 66063294 is about 404.2531457607.

The spelling of 66063294 in words is "sixty-six million, sixty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 47 62 66 93 94 99 141 186 198 229 279 282 341 423 458 517 558 682 687 846 1023 1034 1374 1457 1551 2046 2061 2519 2914 3069 3102 4122 4371 4653 5038 6138 7099 7557 8742 9306 10763 13113 14198 15114 16027 21297 21526 22671 26226 32054 32289 42594 45342 48081 63891 64578 78089 96162 96867 118393 127782 144243 156178 193734 234267 236786 288486 333653 355179 468534 667306 702801 710358 1000959 1065537 1405602 2001918 2131074 3002877 3670183 6005754 7340366 11010549 22021098 33031647 66063294