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66269568 = 2731931293
BaseRepresentation
bin1111110011001…
…1000110000000
311121200211202110
43330303012000
5113431111233
610324215320
71433165511
oct374630600
9147624673
1066269568
1134453342
121a23a540
1310963881
148b30a08
155c40663
hex3f33180

66269568 has 128 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 20183040.

The previous prime is 66269531. The next prime is 66269569. The reversal of 66269568 is 86596266.

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 (48).

Its product of digits (933120) is a multiple of the sum of its prime factors (360).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66269569) 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, 226030 + ... + 226322.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 266269568 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 66269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

66269568 is an abundant number, since it is smaller than the sum of its proper divisors (125653632).

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

66269568 is a wasteful number, since it uses less digits than its factorization.

66269568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 66269568 is about 8140.6122619862. The cubic root of 66269568 is about 404.6734511494.

The spelling of 66269568 in words is "sixty-six million, two hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 293 304 372 384 456 496 586 589 608 744 879 912 992 1172 1178 1216 1488 1758 1767 1824 1984 2344 2356 2432 2976 3516 3534 3648 3968 4688 4712 5567 5952 7032 7068 7296 9083 9376 9424 11134 11904 14064 14136 16701 18166 18752 18848 22268 27249 28128 28272 33402 36332 37504 37696 44536 54498 56256 56544 66804 72664 75392 89072 108996 112512 113088 133608 145328 172577 178144 217992 226176 267216 290656 345154 356288 435984 517731 534432 581312 690308 712576 871968 1035462 1068864 1162624 1380616 1743936 2070924 2137728 2761232 3487872 4141848 5522464 8283696 11044928 16567392 22089856 33134784 66269568