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14606225664 = 283124915227
BaseRepresentation
bin11011001101001100…
…10101000100000000
31101200221012010211220
431212212111010000
5214403143210124
610413210035040
71024645604202
oct154646250400
941627163756
1014606225664
116215919588
1229b7718a80
1314ba0a73a4
149c7c00772
155a7480879
hex366995100

14606225664 has 72 divisors (see below), whose sum is σ = 38907540000. Its totient is φ = 4864524288.

The previous prime is 14606225663. The next prime is 14606225713. The reversal of 14606225664 is 46652260641.

It is not an unprimeable number, because it can be changed into a prime (14606225663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951619 + ... + 966845.

It is an arithmetic number, because the mean of its divisors is an integer number (540382500).

Almost surely, 214606225664 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 14606225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453770000).

14606225664 is an abundant number, since it is smaller than the sum of its proper divisors (24301314336).

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

14606225664 is a wasteful number, since it uses less digits than its factorization.

14606225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495 (or 16481 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 14606225664 in words is "fourteen billion, six hundred six million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1249 2498 3747 4996 7494 9992 14988 15227 19984 29976 30454 39968 45681 59952 60908 79936 91362 119904 121816 159872 182724 239808 243632 319744 365448 479616 487264 730896 959232 974528 1461792 1949056 2923584 3898112 5847168 11694336 19018523 38037046 57055569 76074092 114111138 152148184 228222276 304296368 456444552 608592736 912889104 1217185472 1825778208 2434370944 3651556416 4868741888 7303112832 14606225664