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66785472 = 263413991
BaseRepresentation
bin1111111011000…
…1000011000000
311122200001110000
43332301003000
5114044113342
610343240000
71440444555
oct376610300
9148601400
1066785472
1134775a06
121a449000
1310ab4640
148c26a2c
155ce344c
hex3fb10c0

66785472 has 140 divisors (see below), whose sum is σ = 213416896. Its totient is φ = 20528640.

The previous prime is 66785461. The next prime is 66785473. The reversal of 66785472 is 27458766.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (66785473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66897 + ... + 67887.

Almost surely, 266785472 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 66785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106708448).

66785472 is an abundant number, since it is smaller than the sum of its proper divisors (146631424).

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

66785472 is a wasteful number, since it uses less digits than its factorization.

66785472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1009 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 66785472 is about 8172.2378820003. The cubic root of 66785472 is about 405.7208561107.

The spelling of 66785472 in words is "sixty-six million, seven hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 991 1053 1248 1296 1404 1728 1872 1982 2106 2496 2592 2808 2973 3744 3964 4212 5184 5616 5946 7488 7928 8424 8919 11232 11892 12883 15856 16848 17838 22464 23784 25766 26757 31712 33696 35676 38649 47568 51532 53514 63424 67392 71352 77298 80271 95136 103064 107028 115947 142704 154596 160542 190272 206128 214056 231894 285408 309192 321084 347841 412256 428112 463788 570816 618384 642168 695682 824512 856224 927576 1043523 1236768 1284336 1391364 1712448 1855152 2087046 2473536 2568672 2782728 3710304 4174092 5137344 5565456 7420608 8348184 11130912 16696368 22261824 33392736 66785472